This study notes covers Finding HCF and LCM within Factors, Multiples & Primes for GCSE Mathematics. Revise Factors, Multiples & Primes in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 5 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 5 of 8
Practice
14 questions
Recall
22 flashcards
Finding HCF and LCM
Example: Find HCF and LCM of 60 and 84
Step 1: Find prime factors
- 60 = 2² × 3 × 5
- 84 = 2² × 3 × 7
Step 2: Find HCF (common factors with lowest powers)
- Common factors: 2² and 3
- HCF = 2² × 3 = 4 × 3 = 12
Step 3: Find LCM (all factors with highest powers)
- All factors: 2², 3, 5, 7
- LCM = 2² × 3 × 5 × 7 = 4 × 3 × 5 × 7 = 420