Greatest Common Factor of 474/157, 9642/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 474/157, 9642/151

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 474/157,9642/151

Given fractions are 474/157,9642/151

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 474,9642

Greatest Common Factor of Numerators i.e. GCF of 474,9642 is 6 .

LCM of Denominators means LCM of 157,151 as per the given fractions.

LCM of 157,151 is 23707 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 474,9642

GCF of Fractions 474/157,9642/151 is 6/23707

2 474, 9642
3 237, 4821
79, 1607

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 474,9642 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,9642 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors 474,9642 . The biggest common factor number is the GCF number.
So the greatest common factor 474,9642 is 6.

Lets's calculate LCM of 157,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 23707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/23707

Therefore, the GCF of Fractions 474/157,9642/151 is 6/23707

Least Common Multiple of 157,151 with GCF Formula

Least Common Multiple of 157,151 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 157,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,151) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(157,151) x common factors =1 x 1 = 1

LCM(157,151) = ( 157 × 151 ) / 1

LCM(157,151) = 23707 / 1

LCM(157,151) = 23707


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 474/157, 9642/151

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 474/157, 9642/151?

Answer: GCF of Numerators as per given numbers 474/157, 9642/151 is

GCF of Numerators i.e. for 474,9642 is 6

LCM of denominators i.e. for 157,151 is 23707.

Thus, GCF of Fractions is 6/23707.Finally, GCF of Fractions for 474/157, 9642/151 is 6/23707.