Greatest Common Factor of 766/270, 3876/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/270, 3876/747

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 766/270,3876/747

Given fractions are 766/270,3876/747

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 766,3876

Greatest Common Factor of Numerators i.e. GCF of 766,3876 is 2 .

LCM of Denominators means LCM of 270,747 as per the given fractions.

LCM of 270,747 is 22410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,3876

GCF of Fractions 766/270,3876/747 is 2/22410

2 766, 3876
383, 1938

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 766,3876 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,3876 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876

Greatest Common Factor

We found the factors 766,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 766,3876 is 2.

Lets's calculate LCM of 270,747

3 270, 747
3 90, 249
30, 83

∴ So the LCM of the given numbers is 3 x 3 x 30 x 83 = 22410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22410

Therefore, the GCF of Fractions 766/270,3876/747 is 2/22410

Least Common Multiple of 270,747 with GCF Formula

Least Common Multiple of 270,747 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 270,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,747) = 9

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

GCF(270,747) x common factors =9 x 1 = 9

LCM(270,747) = ( 270 × 747 ) / 9

LCM(270,747) = 201690 / 9

LCM(270,747) = 22410


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 766/270, 3876/747

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 766/270, 3876/747?

Answer: GCF of Numerators as per given numbers 766/270, 3876/747 is

GCF of Numerators i.e. for 766,3876 is 2

LCM of denominators i.e. for 270,747 is 22410.

Thus, GCF of Fractions is 2/22410.Finally, GCF of Fractions for 766/270, 3876/747 is 2/22410.