When simplifying fractions it's useful to know what is the HCF of the numerator and denominator is.
When adding or subtracting fractions with different denominators it's useful to know what the LCM of them is.
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if the product of two numbers is 810 if there hcf is 9 find Lcm
HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .
HCF = 3... LCM = 18 !
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
5 and 10 lcm- 10 and hcf= 5