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HCF and LCM using prime factorization worksheet (with detailed solutions)

HCF and LCM using prime factorization worksheet (with detailed solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

2 August 2026

pdf, 73.93 KB
pdf, 73.93 KB

A worksheet on finding HCF and LCM using prime factorization. Detailed solutions are provided.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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GCSE IGCSE Number Worksheets Bundle - Fractions Percentages Indices Bounds +

A collection of 20 worksheets on various number topics from the GCSE/IGCSE syllabus. The following topics are included: * Rounding * Bounds * Calculator use * Percentages, fractions and decimals * Increasing or decreasing an amount by a percentage * Percentage of a quantity * The rules of indices * Factors, Multiples and Primes * Square and cube roots * Mixed operations between fractions, mixed numbers and whole numbers * HCF and LCM using prime factorisation * Recurring decimals * Simple interest * Compound interest * Operations With Positive and Negative Numbers * Order of operations * Standard form * Multiplying and dividing by powers of 10 * Adding and subtracting positive and negative numbers * Multiplying and dividing positive and negative numbers Detailed solutions are provided for each worksheet. Master core GCSE and IGCSE mathematics with this comprehensive, no-prep 20-worksheet Number resource pack! Packed with exam-style questions, complete step-by-step worked solutions, and a wide variety of topics, this collection is perfect for KS3 and KS4 revision, homework, and cover lessons. Covers fractions, percentages, index laws, upper/lower bounds, rounding, and calculator operations. ________________________________________ Looking for rigorous, no-prep math resources to help your students master essential Number topics? This highly comprehensive 20-worksheet pack is designed to fully align with UK GCSE and IGCSE math specifications. Whether you need structured cover lessons, targeted homework tasks, daily classroom practice, or an all-in-one exam revision booklet, this resource has you covered! Every single worksheet comes paired with complete step-by-step worked solutions, making grading an absolute breeze and allowing students to self-assess or peer-mark effectively. ________________________________________ **What Topics Are Covered?** 1. **Percentages & Conversions** • Converting seamlessly between fractions, decimals, and percentages. • Calculating the exact percentage of a given quantity. • Increasing and decreasing an amount by a percentage. 2. **Fractions & Core Arithmetic Operations** • Simplifying and writing fractions in their simplest form. • Converting fractions to exact percentages and decimals. 3. **The Rules of Indices (Laws of Indices)** • Multiplying and dividing terms using basic, fraction, and negative index laws. • Simplifying complex algebraic terms with brackets and single variables. • Working with dual-variable expressions involving negative bases. 4. **Upper & Lower Bounds (Error Intervals)** • Calculating upper and lower bounds for multi-step formulas. • Applying rounding bounds to fractional and multi-variable equations. • Solving limits for equations containing radicals and square roots. 5. **Foundational Number Skills** • Rounding integers to the nearest 10, 100, or 1000. • Rounding decimals to the nearest whole number or specific decimal places. • Listing factors, multiples, prime numbers, and prime factors. • Multi-step calculator practice using complex fractional expressions, fractions, and roots. ________________________________________ **Why Teachers Choose This Resource Pack:** • Zero Prep Needed: Just download, print, and you are ready to go! • Step-by-Step Solutions: Complete answer keys show exactly how to solve each problem, not just the final numerical answer. • Scaffolded Layout: Moves smoothly from basic numeric concepts up to advanced higher tier error bounds. • Universal, Clean Design: Styled neatly without distracting clutter, maximizing student focus during revision. ________________________________________ **Curriculum Alignment:** • Key Stage 4 (KS4): Perfect for Year 10 and Year 11 preparing for Higher and Foundation tiers. • Key Stage 3 (KS3): Great for Year 8 and Year 9 higher-tier extension or foundational work. • Exam Boards: Fully supports objectives for Edexcel, AQA, OCR GCSE, and Cambridge CIE / Oxford AQA IGCSE.

£18.90
Bundle

10 Worksheets on number topics (with detailed solutions)

Ten worksheets on the following number topics: rounding numbers, significant figures, factors, multiples, primes, HCF, LCM, standard form, order of operations and recurring decimals. Detailed solutions are provided.

£8.90
Bundle

Product of primes, HCF and LCM Bundle

Three worksheets on writing numbers as products of their prime factors and finding their HCF and LCM. Solutions are provided.

£2.50

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