Greatest Common Factor of 2768/537, 2682/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2768/537, 2682/882

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 2768/537,2682/882

Given fractions are 2768/537,2682/882

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 2768,2682

Greatest Common Factor of Numerators i.e. GCF of 2768,2682 is 2 .

LCM of Denominators means LCM of 537,882 as per the given fractions.

LCM of 537,882 is 157878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2768,2682

GCF of Fractions 2768/537,2682/882 is 2/157878

2 2768, 2682
1384, 1341

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

Greatest Common Factor of 2768,2682 By Matching Biggest Common Factor Method

Greatest Common Factor of 2768,2682 By Matching Biggest Common Factor Method

Factors of 2768

List of positive integer factors of 2768 that divides 2768 without a remainder.

1,2,4,8,16,173,346,692,1384,2768

Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1,2,3,6,9,18,149,298,447,894,1341,2682

Greatest Common Factor

We found the factors 2768,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 2768,2682 is 2.

Lets's calculate LCM of 537,882

3 537, 882
179, 294

∴ So the LCM of the given numbers is 3 x 179 x 294 = 157878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157878

Therefore, the GCF of Fractions 2768/537,2682/882 is 2/157878

Least Common Multiple of 537,882 with GCF Formula

Least Common Multiple of 537,882 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 537,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,882) = 3

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

GCF(537,882) x common factors =3 x 1 = 3

LCM(537,882) = ( 537 × 882 ) / 3

LCM(537,882) = 473634 / 3

LCM(537,882) = 157878


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 2768/537, 2682/882

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 2768/537, 2682/882?

Answer: GCF of Numerators as per given numbers 2768/537, 2682/882 is

GCF of Numerators i.e. for 2768,2682 is 2

LCM of denominators i.e. for 537,882 is 157878.

Thus, GCF of Fractions is 2/157878.Finally, GCF of Fractions for 2768/537, 2682/882 is 2/157878.