Greatest Common Factor of 6127/628, 1138/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6127/628, 1138/842

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 6127/628,1138/842

Given fractions are 6127/628,1138/842

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 6127,1138

Greatest Common Factor of Numerators i.e. GCF of 6127,1138 is 1 .

LCM of Denominators means LCM of 628,842 as per the given fractions.

LCM of 628,842 is 264388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6127,1138

GCF of Fractions 6127/628,1138/842 is 1/264388

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

Greatest Common Factor of 6127,1138 By Matching Biggest Common Factor Method

Greatest Common Factor of 6127,1138 By Matching Biggest Common Factor Method

Factors of 6127

List of positive integer factors of 6127 that divides 6127 without a remainder.

1,11,557,6127

Factors of 1138

List of positive integer factors of 1138 that divides 1138 without a remainder.

1,2,569,1138

Greatest Common Factor

We found the factors 6127,1138 . The biggest common factor number is the GCF number.
So the greatest common factor 6127,1138 is 1.

Lets's calculate LCM of 628,842

2 628, 842
314, 421

∴ So the LCM of the given numbers is 2 x 314 x 421 = 264388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264388

Therefore, the GCF of Fractions 6127/628,1138/842 is 1/264388

Least Common Multiple of 628,842 with GCF Formula

Least Common Multiple of 628,842 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 628,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,842) = 2

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

GCF(628,842) x common factors =2 x 1 = 2

LCM(628,842) = ( 628 × 842 ) / 2

LCM(628,842) = 528776 / 2

LCM(628,842) = 264388


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 6127/628, 1138/842

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 6127/628, 1138/842?

Answer: GCF of Numerators as per given numbers 6127/628, 1138/842 is

GCF of Numerators i.e. for 6127,1138 is 1

LCM of denominators i.e. for 628,842 is 264388.

Thus, GCF of Fractions is 1/264388.Finally, GCF of Fractions for 6127/628, 1138/842 is 1/264388.