Greatest Common Factor of 5314/237, 6361/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5314/237, 6361/751

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 5314/237,6361/751

Given fractions are 5314/237,6361/751

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 5314,6361

Greatest Common Factor of Numerators i.e. GCF of 5314,6361 is 1 .

LCM of Denominators means LCM of 237,751 as per the given fractions.

LCM of 237,751 is 177987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5314,6361

GCF of Fractions 5314/237,6361/751 is 1/177987

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

Greatest Common Factor of 5314,6361 By Matching Biggest Common Factor Method

Greatest Common Factor of 5314,6361 By Matching Biggest Common Factor Method

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1,2,2657,5314

Factors of 6361

List of positive integer factors of 6361 that divides 6361 without a remainder.

1,6361

Greatest Common Factor

We found the factors 5314,6361 . The biggest common factor number is the GCF number.
So the greatest common factor 5314,6361 is 1.

Lets's calculate LCM of 237,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 177987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177987

Therefore, the GCF of Fractions 5314/237,6361/751 is 1/177987

Least Common Multiple of 237,751 with GCF Formula

Least Common Multiple of 237,751 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 237,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,751) = 1

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

GCF(237,751) x common factors =1 x 1 = 1

LCM(237,751) = ( 237 × 751 ) / 1

LCM(237,751) = 177987 / 1

LCM(237,751) = 177987


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 5314/237, 6361/751

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 5314/237, 6361/751?

Answer: GCF of Numerators as per given numbers 5314/237, 6361/751 is

GCF of Numerators i.e. for 5314,6361 is 1

LCM of denominators i.e. for 237,751 is 177987.

Thus, GCF of Fractions is 1/177987.Finally, GCF of Fractions for 5314/237, 6361/751 is 1/177987.