Q1
The HCF of 8 and 12 is:
A4
B2
C8
D24
CBSEClass 6 (CBSE)MathematicsCh 5 · Topic 3
HCF and LCM
Learning to find the Highest Common Factor and Lowest Common Multiple.
Core concept
HCF and LCM can be found using the listing method (writing out factors/multiples and finding the common one) or the more efficient prime factorisation method (breaking each number into its prime factors, then combining them appropriately) — for HCF, take the common prime factors with the lowest powers; for LCM, take all prime factors with the highest powers appearing in any number. A useful relationship exists: for any two numbers, HCF × LCM = product of the two numbers.
Exam highlight
Key diagram
- Show the prime factorisation method for finding HCF and LCM of two numbers.
Keywords worth remembering
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Study resources
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Quick notes
• HCF: largest number dividing all given numbers exactly.
• LCM: smallest number that is a multiple of all given numbers.
• Prime factorisation method efficiently finds both HCF and LCM.
• Relationship: HCF × LCM = product of the two numbers.