Greatest Common Factor of 7950/427, 7838/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7950/427, 7838/168

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 7950/427,7838/168

Given fractions are 7950/427,7838/168

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 7950,7838

Greatest Common Factor of Numerators i.e. GCF of 7950,7838 is 2 .

LCM of Denominators means LCM of 427,168 as per the given fractions.

LCM of 427,168 is 10248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7950,7838

GCF of Fractions 7950/427,7838/168 is 2/10248

2 7950, 7838
3975, 3919

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7950,7838 By Matching Biggest Common Factor Method

Greatest Common Factor of 7950,7838 By Matching Biggest Common Factor Method

Factors of 7950

List of positive integer factors of 7950 that divides 7950 without a remainder.

1,2,3,5,6,10,15,25,30,50,53,75,106,150,159,265,318,530,795,1325,1590,2650,3975,7950

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1,2,3919,7838

Greatest Common Factor

We found the factors 7950,7838 . The biggest common factor number is the GCF number.
So the greatest common factor 7950,7838 is 2.

Lets's calculate LCM of 427,168

7 427, 168
61, 24

∴ So the LCM of the given numbers is 7 x 61 x 24 = 10248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10248

Therefore, the GCF of Fractions 7950/427,7838/168 is 2/10248

Least Common Multiple of 427,168 with GCF Formula

Least Common Multiple of 427,168 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 427,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,168) = 7

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

GCF(427,168) x common factors =7 x 1 = 7

LCM(427,168) = ( 427 × 168 ) / 7

LCM(427,168) = 71736 / 7

LCM(427,168) = 10248


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 7950/427, 7838/168

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 7950/427, 7838/168?

Answer: GCF of Numerators as per given numbers 7950/427, 7838/168 is

GCF of Numerators i.e. for 7950,7838 is 2

LCM of denominators i.e. for 427,168 is 10248.

Thus, GCF of Fractions is 2/10248.Finally, GCF of Fractions for 7950/427, 7838/168 is 2/10248.