Greatest Common Factor of 2764/874, 7768/7328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2764/874, 7768/7328

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 2764/874,7768/7328

Given fractions are 2764/874,7768/7328

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 2764,7768

Greatest Common Factor of Numerators i.e. GCF of 2764,7768 is 4 .

LCM of Denominators means LCM of 874,7328 as per the given fractions.

LCM of 874,7328 is 3202336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2764,7768

GCF of Fractions 2764/874,7768/7328 is 4/3202336

2 2764, 7768
2 1382, 3884
691, 1942

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2764,7768 By Matching Biggest Common Factor Method

Greatest Common Factor of 2764,7768 By Matching Biggest Common Factor Method

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1,2,4,691,1382,2764

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors 2764,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 2764,7768 is 4.

Lets's calculate LCM of 874,7328

2 874, 7328
437, 3664

∴ So the LCM of the given numbers is 2 x 437 x 3664 = 3202336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3202336

Therefore, the GCF of Fractions 2764/874,7768/7328 is 4/3202336

Least Common Multiple of 874,7328 with GCF Formula

Least Common Multiple of 874,7328 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 874,7328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,7328) = 2

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

GCF(874,7328) x common factors =2 x 1 = 2

LCM(874,7328) = ( 874 × 7328 ) / 2

LCM(874,7328) = 6404672 / 2

LCM(874,7328) = 3202336


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 2764/874, 7768/7328

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 2764/874, 7768/7328?

Answer: GCF of Numerators as per given numbers 2764/874, 7768/7328 is

GCF of Numerators i.e. for 2764,7768 is 4

LCM of denominators i.e. for 874,7328 is 3202336.

Thus, GCF of Fractions is 4/3202336.Finally, GCF of Fractions for 2764/874, 7768/7328 is 4/3202336.