Greatest Common Factor of 568/148, 1938/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/148, 1938/626

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 568/148,1938/626

Given fractions are 568/148,1938/626

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 568,1938

Greatest Common Factor of Numerators i.e. GCF of 568,1938 is 2 .

LCM of Denominators means LCM of 148,626 as per the given fractions.

LCM of 148,626 is 46324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,1938

GCF of Fractions 568/148,1938/626 is 2/46324

2 568, 1938
284, 969

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

Greatest Common Factor of 568,1938 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,1938 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938

Greatest Common Factor

We found the factors 568,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 568,1938 is 2.

Lets's calculate LCM of 148,626

2 148, 626
74, 313

∴ So the LCM of the given numbers is 2 x 74 x 313 = 46324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46324

Therefore, the GCF of Fractions 568/148,1938/626 is 2/46324

Least Common Multiple of 148,626 with GCF Formula

Least Common Multiple of 148,626 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 148,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,626) = 2

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

GCF(148,626) x common factors =2 x 1 = 2

LCM(148,626) = ( 148 × 626 ) / 2

LCM(148,626) = 92648 / 2

LCM(148,626) = 46324


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 568/148, 1938/626

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 568/148, 1938/626?

Answer: GCF of Numerators as per given numbers 568/148, 1938/626 is

GCF of Numerators i.e. for 568,1938 is 2

LCM of denominators i.e. for 148,626 is 46324.

Thus, GCF of Fractions is 2/46324.Finally, GCF of Fractions for 568/148, 1938/626 is 2/46324.