Question

write any two properties of hcf and lcm​

Answer 1

Answer:

Property 1: The H.C.F. of given numbers is not greater than any of the numbers.

 

Verification: H.C.F. of 161 and 345.

hcf

We can see that the H.C.F. of 161 and 345 is 23 which is not greater than any of the given numbers.

Property 2: The L.C.M. of given numbers is not less than any of the given numbers.

Verification: L.C.M. of 8 and 12.

lcm example

L.C.M. of 161 and 345 is 24 which is not less than any of the given numbers.

Property 3: The H.C.F. of two co-prime numbers is 1.

Verification: H.C.F. of 3 and 5.

hcf coprimes

We can see that the H.C.F. of 3 and 5 which are co primes is 1.

Property 4: The L.C.M. of two or more co-prime numbers is equal to their product.

Verification: L.C.M. of 3 and 5.

lcm coprimes

L.C.M. of 3 and 5 is 3 x 5 x 1 = 15, which is the product of the co primes.

Step-by-step explanation:

Answer 2

Answer:

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

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

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

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