Question

PROPERTIES OF HCF AND LCM
1. HCF of given numbers is not greater than any of the numbers.
e.g. HCF of 5 and 15 = 5
HCF of 12 and 18 = 6
2. LCM of given numbers is not smaller than any of the numbers.
e.g. LCM of 5, 15 = 15
LCM of 12, 18 = 36
3. HCF of given numbers is a factor of their LCM.
e.g. HCF of 16, 12 = 4
LCM of 16, 12 = 48
HCF 4 is a factor of LCM 48
4. LCM of given numbers is a multiple of their HCF.
e.g. HCF of 16, 12 = 4
LCM of 16, 12 = 48
LCM 48 is a multiple of HCF 4
5. If HCF of two numbers is one of the number then LCM is the greater number.
e.g. HCF of 5 and 15 = 5
LCM = 15 (greater number)
6. HCF of co-prime numbers is 1.
5 and 9 are co-prime
HCF = 1
7. LCM of co-prime numbers is the product of the numbers.
LCM of 5 and 9 = 45
8. Product of HCF and LCM of two numbers is equal to the product of the numbers.
HCF of 9 and 12 = 3
LCM of 9 and 12 = 36
Product of 9 and 12 = 108
Product of HCF and LCM = 3 x 36 = 108
40


these is properties of hcf and lcm​

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