Greatest Common Factor of 42/406, 7931/1378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/406, 7931/1378

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 42/406,7931/1378

Given fractions are 42/406,7931/1378

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 42,7931

Greatest Common Factor of Numerators i.e. GCF of 42,7931 is 7 .

LCM of Denominators means LCM of 406,1378 as per the given fractions.

LCM of 406,1378 is 279734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,7931

GCF of Fractions 42/406,7931/1378 is 7/279734

7 42, 7931
6, 1133

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 42,7931 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7931 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1,7,11,77,103,721,1133,7931

Greatest Common Factor

We found the factors 42,7931 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7931 is 7.

Lets's calculate LCM of 406,1378

2 406, 1378
203, 689

∴ So the LCM of the given numbers is 2 x 203 x 689 = 279734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/279734

Therefore, the GCF of Fractions 42/406,7931/1378 is 7/279734

Least Common Multiple of 406,1378 with GCF Formula

Least Common Multiple of 406,1378 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 406,1378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,1378) = 2

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

GCF(406,1378) x common factors =2 x 1 = 2

LCM(406,1378) = ( 406 × 1378 ) / 2

LCM(406,1378) = 559468 / 2

LCM(406,1378) = 279734


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 42/406, 7931/1378

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 42/406, 7931/1378?

Answer: GCF of Numerators as per given numbers 42/406, 7931/1378 is

GCF of Numerators i.e. for 42,7931 is 7

LCM of denominators i.e. for 406,1378 is 279734.

Thus, GCF of Fractions is 7/279734.Finally, GCF of Fractions for 42/406, 7931/1378 is 7/279734.