write any two properties of hcf and lcm
Share
write any two properties of hcf and lcm
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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:
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.