Greatest Common Factor of 6020/54, 7952/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6020/54, 7952/418

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 6020/54,7952/418

Given fractions are 6020/54,7952/418

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 6020,7952

Greatest Common Factor of Numerators i.e. GCF of 6020,7952 is 28 .

LCM of Denominators means LCM of 54,418 as per the given fractions.

LCM of 54,418 is 11286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6020,7952

GCF of Fractions 6020/54,7952/418 is 28/11286

2 6020, 7952
2 3010, 3976
7 1505, 1988
215, 284

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 6020,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 6020,7952 By Matching Biggest Common Factor Method

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 6020,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,7952 is 28.

Lets's calculate LCM of 54,418

2 54, 418
27, 209

∴ So the LCM of the given numbers is 2 x 27 x 209 = 11286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/11286

Therefore, the GCF of Fractions 6020/54,7952/418 is 28/11286

Least Common Multiple of 54,418 with GCF Formula

Least Common Multiple of 54,418 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 54,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,418) = 2

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

GCF(54,418) x common factors =2 x 1 = 2

LCM(54,418) = ( 54 × 418 ) / 2

LCM(54,418) = 22572 / 2

LCM(54,418) = 11286


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 6020/54, 7952/418

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 6020/54, 7952/418?

Answer: GCF of Numerators as per given numbers 6020/54, 7952/418 is

GCF of Numerators i.e. for 6020,7952 is 28

LCM of denominators i.e. for 54,418 is 11286.

Thus, GCF of Fractions is 28/11286.Finally, GCF of Fractions for 6020/54, 7952/418 is 28/11286.