Question

Q.) 2 nos are in the ratio of 3:4 & their L CM is 240
Their hcf is? ​

Answer 1

Answer:

HCF=20

Step-by-step explanation:

Given:

The ratio of two numbers= 3:4

Their LCM =240

To find:

Their HCF

Solution:

The ratio of given numbers =3:4

Let they be 3x and 4x

3x = 3×x

4x=4×x

LCM of 3x and 4x = 3×4×x= 12x

But given that LCM=240

=>12x=240

=>x=240/12

=>x=20

then 3x=3×20=60

4x=4×20=80

we know that

LCM ×HCF=product of two numbers

240×HCF=60×80

=>240×HCF=4800

=>HCF=4800/240

HCF=20

Solution: HCF of the given numbers =20