Greatest Common Factor of 2274/20, 7732/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2274/20, 7732/268

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 2274/20,7732/268

Given fractions are 2274/20,7732/268

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 2274,7732

Greatest Common Factor of Numerators i.e. GCF of 2274,7732 is 2 .

LCM of Denominators means LCM of 20,268 as per the given fractions.

LCM of 20,268 is 1340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2274,7732

GCF of Fractions 2274/20,7732/268 is 2/1340

2 2274, 7732
1137, 3866

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

Greatest Common Factor of 2274,7732 By Matching Biggest Common Factor Method

Greatest Common Factor of 2274,7732 By Matching Biggest Common Factor Method

Factors of 2274

List of positive integer factors of 2274 that divides 2274 without a remainder.

1,2,3,6,379,758,1137,2274

Factors of 7732

List of positive integer factors of 7732 that divides 7732 without a remainder.

1,2,4,1933,3866,7732

Greatest Common Factor

We found the factors 2274,7732 . The biggest common factor number is the GCF number.
So the greatest common factor 2274,7732 is 2.

Lets's calculate LCM of 20,268

2 20, 268
2 10, 134
5, 67

∴ So the LCM of the given numbers is 2 x 2 x 5 x 67 = 1340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1340

Therefore, the GCF of Fractions 2274/20,7732/268 is 2/1340

Least Common Multiple of 20,268 with GCF Formula

Least Common Multiple of 20,268 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 20,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,268) = 4

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

GCF(20,268) x common factors =4 x 1 = 4

LCM(20,268) = ( 20 × 268 ) / 4

LCM(20,268) = 5360 / 4

LCM(20,268) = 1340


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 2274/20, 7732/268

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 2274/20, 7732/268?

Answer: GCF of Numerators as per given numbers 2274/20, 7732/268 is

GCF of Numerators i.e. for 2274,7732 is 2

LCM of denominators i.e. for 20,268 is 1340.

Thus, GCF of Fractions is 2/1340.Finally, GCF of Fractions for 2274/20, 7732/268 is 2/1340.