Greatest Common Factor of 2057/76, 1256/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2057/76, 1256/138

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 2057/76,1256/138

Given fractions are 2057/76,1256/138

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 2057,1256

Greatest Common Factor of Numerators i.e. GCF of 2057,1256 is 1 .

LCM of Denominators means LCM of 76,138 as per the given fractions.

LCM of 76,138 is 5244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2057,1256

GCF of Fractions 2057/76,1256/138 is 1/5244

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2057,1256 By Matching Biggest Common Factor Method

Greatest Common Factor of 2057,1256 By Matching Biggest Common Factor Method

Factors of 2057

List of positive integer factors of 2057 that divides 2057 without a remainder.

1,11,17,121,187,2057

Factors of 1256

List of positive integer factors of 1256 that divides 1256 without a remainder.

1,2,4,8,157,314,628,1256

Greatest Common Factor

We found the factors 2057,1256 . The biggest common factor number is the GCF number.
So the greatest common factor 2057,1256 is 1.

Lets's calculate LCM of 76,138

2 76, 138
38, 69

∴ So the LCM of the given numbers is 2 x 38 x 69 = 5244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5244

Therefore, the GCF of Fractions 2057/76,1256/138 is 1/5244

Least Common Multiple of 76,138 with GCF Formula

Least Common Multiple of 76,138 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 76,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,138) = 2

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

GCF(76,138) x common factors =2 x 1 = 2

LCM(76,138) = ( 76 × 138 ) / 2

LCM(76,138) = 10488 / 2

LCM(76,138) = 5244


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 2057/76, 1256/138

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 2057/76, 1256/138?

Answer: GCF of Numerators as per given numbers 2057/76, 1256/138 is

GCF of Numerators i.e. for 2057,1256 is 1

LCM of denominators i.e. for 76,138 is 5244.

Thus, GCF of Fractions is 1/5244.Finally, GCF of Fractions for 2057/76, 1256/138 is 1/5244.