Greatest Common Factor of 276/91, 744/22, 768/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 276/91, 744/22, 768/338

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 276/91,744/22,768/338

Given fractions are 276/91,744/22,768/338

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 276,744,768

Greatest Common Factor of Numerators i.e. GCF of 276,744,768 is 12 .

LCM of Denominators means LCM of 91,22,338 as per the given fractions.

LCM of 91,22,338 is 26026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 276,744,768

GCF of Fractions 276/91,744/22,768/338 is 12/26026

2 276, 744, 768
2 138, 372, 384
3 69, 186, 192
23, 62, 64

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 276,744,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,744,768 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 276,744,768 . The biggest common factor number is the GCF number.
So the greatest common factor 276,744,768 is 12.

Lets's calculate LCM of 91,22,338

2 91, 22, 338
13 91, 11, 169
7, 11, 13

∴ So the LCM of the given numbers is 2 x 13 x 7 x 11 x 13 = 26026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/26026

Therefore, the GCF of Fractions 276/91,744/22,768/338 is 12/26026

Least Common Multiple of 91,22,338 with GCF Formula

Least Common Multiple of 91,22,338 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 91,22,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,22,338) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(91,22,338) x common factors =1 x 26 = 26

LCM(91,22,338) = ( 91 × 22 × 338 ) / 26

LCM(91,22,338) = 676676 / 26

LCM(91,22,338) = 26026


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 276/91, 744/22, 768/338

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 276/91, 744/22, 768/338?

Answer: GCF of Numerators as per given numbers 276/91, 744/22, 768/338 is

GCF of Numerators i.e. for 276,744,768 is 12

LCM of denominators i.e. for 91,22,338 is 26026.

Thus, GCF of Fractions is 12/26026.Finally, GCF of Fractions for 276/91, 744/22, 768/338 is 12/26026.