Question

write the properties of HCF and LCM give number​

Answer 1

Step-by-step explanation:

❖۝ Properties ۝❖

❖ The H.C.F. of given numbers is not greater than any of the numbers.

❖ The L.C.M. of given numbers is not less than any of the given numbers.

❖ The H.C.F. of two co-prime numbers is 1.

❖ The L.C.M. of two or more co-prime numbers is equal to their product.

❖ If a number, say x, is a factor of another number, say y, then the H.C.F. of x and y is x and their L.C.M. is y.

❖ The H.C.F. of given numbers is always a factor of their LC.M.

❖ The product of the H.C.F. and the L.C.M. of two numbers is equal to the product of the given numbers. That is, if a and b are two numbers,

then a x b = H.C.F. x L.C.M.

or,

L.C.M. = (a x b)/H.C.F.,

H.C.F. = (a x b)/L.C.M.

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