Greatest Common Factor of 7138/626, 3142/9614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7138/626, 3142/9614

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 7138/626,3142/9614

Given fractions are 7138/626,3142/9614

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 7138,3142

Greatest Common Factor of Numerators i.e. GCF of 7138,3142 is 2 .

LCM of Denominators means LCM of 626,9614 as per the given fractions.

LCM of 626,9614 is 3009182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7138,3142

GCF of Fractions 7138/626,3142/9614 is 2/3009182

2 7138, 3142
3569, 1571

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

Greatest Common Factor of 7138,3142 By Matching Biggest Common Factor Method

Greatest Common Factor of 7138,3142 By Matching Biggest Common Factor Method

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Factors of 3142

List of positive integer factors of 3142 that divides 3142 without a remainder.

1,2,1571,3142

Greatest Common Factor

We found the factors 7138,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 7138,3142 is 2.

Lets's calculate LCM of 626,9614

2 626, 9614
313, 4807

∴ So the LCM of the given numbers is 2 x 313 x 4807 = 3009182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3009182

Therefore, the GCF of Fractions 7138/626,3142/9614 is 2/3009182

Least Common Multiple of 626,9614 with GCF Formula

Least Common Multiple of 626,9614 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 626,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,9614) = 2

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

GCF(626,9614) x common factors =2 x 1 = 2

LCM(626,9614) = ( 626 × 9614 ) / 2

LCM(626,9614) = 6018364 / 2

LCM(626,9614) = 3009182


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 7138/626, 3142/9614

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 7138/626, 3142/9614?

Answer: GCF of Numerators as per given numbers 7138/626, 3142/9614 is

GCF of Numerators i.e. for 7138,3142 is 2

LCM of denominators i.e. for 626,9614 is 3009182.

Thus, GCF of Fractions is 2/3009182.Finally, GCF of Fractions for 7138/626, 3142/9614 is 2/3009182.