Greatest Common Factor of 2722/652, 8814/7940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2722/652, 8814/7940

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 2722/652,8814/7940

Given fractions are 2722/652,8814/7940

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 2722,8814

Greatest Common Factor of Numerators i.e. GCF of 2722,8814 is 2 .

LCM of Denominators means LCM of 652,7940 as per the given fractions.

LCM of 652,7940 is 1294220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2722,8814

GCF of Fractions 2722/652,8814/7940 is 2/1294220

2 2722, 8814
1361, 4407

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

Greatest Common Factor of 2722,8814 By Matching Biggest Common Factor Method

Greatest Common Factor of 2722,8814 By Matching Biggest Common Factor Method

Factors of 2722

List of positive integer factors of 2722 that divides 2722 without a remainder.

1,2,1361,2722

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 2722,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 2722,8814 is 2.

Lets's calculate LCM of 652,7940

2 652, 7940
2 326, 3970
163, 1985

∴ So the LCM of the given numbers is 2 x 2 x 163 x 1985 = 1294220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1294220

Therefore, the GCF of Fractions 2722/652,8814/7940 is 2/1294220

Least Common Multiple of 652,7940 with GCF Formula

Least Common Multiple of 652,7940 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 652,7940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,7940) = 4

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

GCF(652,7940) x common factors =4 x 1 = 4

LCM(652,7940) = ( 652 × 7940 ) / 4

LCM(652,7940) = 5176880 / 4

LCM(652,7940) = 1294220


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 2722/652, 8814/7940

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 2722/652, 8814/7940?

Answer: GCF of Numerators as per given numbers 2722/652, 8814/7940 is

GCF of Numerators i.e. for 2722,8814 is 2

LCM of denominators i.e. for 652,7940 is 1294220.

Thus, GCF of Fractions is 2/1294220.Finally, GCF of Fractions for 2722/652, 8814/7940 is 2/1294220.