Question

Find the H.C.F. and LCM of the following numbers
(a) 575 and 1440
b) 495 and 1115​

Answer 1

Answer:

Step-by-step explanation:

Hey there fellow human being..

i. The p.f of 575= 5²ₓ 23

pf of 1440=2⁵ₓ 3² ₓ 5

∴H.C.F =5(since it is the only common factor in all the factors)

LCM=5²ₓ 2⁵ₓ 3²ₓ 23(taking all the factors to their highest powers)

ii. The pf of 495= 5×3²ₓ 11

pf of 1115=5×223(223 is a prime number)

∴H.C.F=5(same reason as the first question)

LCM=5×3²×223(same reason as the first question)

Hope this helps..

KUDOS!!

Answer 2

Answer:

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Step-by-step explanation:

Hey there fellow human being..

i. The p.f of 575= 5²ₓ 23

pf of 1440=2⁵ₓ 3² ₓ 5

∴H.C.F =5(since it is the only common factor in all the factors)

LCM=5²ₓ 2⁵ₓ 3²ₓ 23(taking all the factors to their highest powers)

ii. The pf of 495= 5×3²ₓ 11

pf of 1115=5×223(223 is a prime number)

∴H.C.F=5(same reason as the first question)

LCM=5×3²×223(same reason as the first question)

Hope this helps..