Greatest Common Factor of 5652/244, 8082/5362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5652/244, 8082/5362

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 5652/244,8082/5362

Given fractions are 5652/244,8082/5362

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 5652,8082

Greatest Common Factor of Numerators i.e. GCF of 5652,8082 is 18 .

LCM of Denominators means LCM of 244,5362 as per the given fractions.

LCM of 244,5362 is 654164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5652,8082

GCF of Fractions 5652/244,8082/5362 is 18/654164

2 5652, 8082
3 2826, 4041
3 942, 1347
314, 449

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 5652,8082 By Matching Biggest Common Factor Method

Greatest Common Factor of 5652,8082 By Matching Biggest Common Factor Method

Factors of 5652

List of positive integer factors of 5652 that divides 5652 without a remainder.

1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1,2,3,6,9,18,449,898,1347,2694,4041,8082

Greatest Common Factor

We found the factors 5652,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 5652,8082 is 18.

Lets's calculate LCM of 244,5362

2 244, 5362
122, 2681

∴ So the LCM of the given numbers is 2 x 122 x 2681 = 654164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/654164

Therefore, the GCF of Fractions 5652/244,8082/5362 is 18/654164

Least Common Multiple of 244,5362 with GCF Formula

Least Common Multiple of 244,5362 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 244,5362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,5362) = 2

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

GCF(244,5362) x common factors =2 x 1 = 2

LCM(244,5362) = ( 244 × 5362 ) / 2

LCM(244,5362) = 1308328 / 2

LCM(244,5362) = 654164


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 5652/244, 8082/5362

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 5652/244, 8082/5362?

Answer: GCF of Numerators as per given numbers 5652/244, 8082/5362 is

GCF of Numerators i.e. for 5652,8082 is 18

LCM of denominators i.e. for 244,5362 is 654164.

Thus, GCF of Fractions is 18/654164.Finally, GCF of Fractions for 5652/244, 8082/5362 is 18/654164.