Greatest Common Factor of 6857/760, 1779/7514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6857/760, 1779/7514

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 6857/760,1779/7514

Given fractions are 6857/760,1779/7514

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 6857,1779

Greatest Common Factor of Numerators i.e. GCF of 6857,1779 is 1 .

LCM of Denominators means LCM of 760,7514 as per the given fractions.

LCM of 760,7514 is 2855320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6857,1779

GCF of Fractions 6857/760,1779/7514 is 1/2855320

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

Greatest Common Factor of 6857,1779 By Matching Biggest Common Factor Method

Greatest Common Factor of 6857,1779 By Matching Biggest Common Factor Method

Factors of 6857

List of positive integer factors of 6857 that divides 6857 without a remainder.

1,6857

Factors of 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1,3,593,1779

Greatest Common Factor

We found the factors 6857,1779 . The biggest common factor number is the GCF number.
So the greatest common factor 6857,1779 is 1.

Lets's calculate LCM of 760,7514

2 760, 7514
380, 3757

∴ So the LCM of the given numbers is 2 x 380 x 3757 = 2855320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855320

Therefore, the GCF of Fractions 6857/760,1779/7514 is 1/2855320

Least Common Multiple of 760,7514 with GCF Formula

Least Common Multiple of 760,7514 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 760,7514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,7514) = 2

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

GCF(760,7514) x common factors =2 x 1 = 2

LCM(760,7514) = ( 760 × 7514 ) / 2

LCM(760,7514) = 5710640 / 2

LCM(760,7514) = 2855320


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 6857/760, 1779/7514

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 6857/760, 1779/7514?

Answer: GCF of Numerators as per given numbers 6857/760, 1779/7514 is

GCF of Numerators i.e. for 6857,1779 is 1

LCM of denominators i.e. for 760,7514 is 2855320.

Thus, GCF of Fractions is 1/2855320.Finally, GCF of Fractions for 6857/760, 1779/7514 is 1/2855320.