Greatest Common Factor of 5322/20, 7657/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5322/20, 7657/948

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 5322/20,7657/948

Given fractions are 5322/20,7657/948

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 5322,7657

Greatest Common Factor of Numerators i.e. GCF of 5322,7657 is 1 .

LCM of Denominators means LCM of 20,948 as per the given fractions.

LCM of 20,948 is 4740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5322,7657

GCF of Fractions 5322/20,7657/948 is 1/4740

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5322,7657 By Matching Biggest Common Factor Method

Greatest Common Factor of 5322,7657 By Matching Biggest Common Factor Method

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1,13,19,31,247,403,589,7657

Greatest Common Factor

We found the factors 5322,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 5322,7657 is 1.

Lets's calculate LCM of 20,948

2 20, 948
2 10, 474
5, 237

∴ So the LCM of the given numbers is 2 x 2 x 5 x 237 = 4740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4740

Therefore, the GCF of Fractions 5322/20,7657/948 is 1/4740

Least Common Multiple of 20,948 with GCF Formula

Least Common Multiple of 20,948 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 20,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,948) = 4

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

GCF(20,948) x common factors =4 x 1 = 4

LCM(20,948) = ( 20 × 948 ) / 4

LCM(20,948) = 18960 / 4

LCM(20,948) = 4740


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 5322/20, 7657/948

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 5322/20, 7657/948?

Answer: GCF of Numerators as per given numbers 5322/20, 7657/948 is

GCF of Numerators i.e. for 5322,7657 is 1

LCM of denominators i.e. for 20,948 is 4740.

Thus, GCF of Fractions is 1/4740.Finally, GCF of Fractions for 5322/20, 7657/948 is 1/4740.