Greatest Common Factor of 8737/560, 4276/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8737/560, 4276/691

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 8737/560,4276/691

Given fractions are 8737/560,4276/691

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 8737,4276

Greatest Common Factor of Numerators i.e. GCF of 8737,4276 is 1 .

LCM of Denominators means LCM of 560,691 as per the given fractions.

LCM of 560,691 is 386960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8737,4276

GCF of Fractions 8737/560,4276/691 is 1/386960

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

Greatest Common Factor of 8737,4276 By Matching Biggest Common Factor Method

Greatest Common Factor of 8737,4276 By Matching Biggest Common Factor Method

Factors of 8737

List of positive integer factors of 8737 that divides 8737 without a remainder.

1,8737

Factors of 4276

List of positive integer factors of 4276 that divides 4276 without a remainder.

1,2,4,1069,2138,4276

Greatest Common Factor

We found the factors 8737,4276 . The biggest common factor number is the GCF number.
So the greatest common factor 8737,4276 is 1.

Lets's calculate LCM of 560,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 386960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386960

Therefore, the GCF of Fractions 8737/560,4276/691 is 1/386960

Least Common Multiple of 560,691 with GCF Formula

Least Common Multiple of 560,691 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 560,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,691) = 1

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

GCF(560,691) x common factors =1 x 1 = 1

LCM(560,691) = ( 560 × 691 ) / 1

LCM(560,691) = 386960 / 1

LCM(560,691) = 386960


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 8737/560, 4276/691

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 8737/560, 4276/691?

Answer: GCF of Numerators as per given numbers 8737/560, 4276/691 is

GCF of Numerators i.e. for 8737,4276 is 1

LCM of denominators i.e. for 560,691 is 386960.

Thus, GCF of Fractions is 1/386960.Finally, GCF of Fractions for 8737/560, 4276/691 is 1/386960.