Question

2. LCM and HCF of two numbers are 1575and 3 respectively. If one of the numbers is 75, find the other number.​

Answer 1

Step-by-step explanation:

Correct option is

B

105

Product of numbers =1575

H.C.F =15

We know ,

L.C.M =

H.C.F

Product of numbers

=

15

1575

=105

Answer 2

Answer:

The other number is 63.

Step-by-step explanation:

LCM of two numbers = 1575

HCF of two numbers = 3

One of the given numbers = 75

we know that,

LCM of two integers is the smallest positive integer that is a multiple of integers.

GCD of two integers is the largest positive integer dividing both the integers.

Product of two numbers =  LCM of two numbers x HCF of two numbers

let the other number be y.

75 x y = 1575 x 3

y = 1575 x 3 / 75

y = 63.

therefore the other number is 63.

Click the below links for more examples on GCD.

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