Greatest Common Factor of 7900/52, 5618/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7900/52, 5618/388

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 7900/52,5618/388

Given fractions are 7900/52,5618/388

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 7900,5618

Greatest Common Factor of Numerators i.e. GCF of 7900,5618 is 2 .

LCM of Denominators means LCM of 52,388 as per the given fractions.

LCM of 52,388 is 5044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7900,5618

GCF of Fractions 7900/52,5618/388 is 2/5044

2 7900, 5618
3950, 2809

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

Greatest Common Factor of 7900,5618 By Matching Biggest Common Factor Method

Greatest Common Factor of 7900,5618 By Matching Biggest Common Factor Method

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Factors of 5618

List of positive integer factors of 5618 that divides 5618 without a remainder.

1,2,53,106,2809,5618

Greatest Common Factor

We found the factors 7900,5618 . The biggest common factor number is the GCF number.
So the greatest common factor 7900,5618 is 2.

Lets's calculate LCM of 52,388

2 52, 388
2 26, 194
13, 97

∴ So the LCM of the given numbers is 2 x 2 x 13 x 97 = 5044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5044

Therefore, the GCF of Fractions 7900/52,5618/388 is 2/5044

Least Common Multiple of 52,388 with GCF Formula

Least Common Multiple of 52,388 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 52,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,388) = 4

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

GCF(52,388) x common factors =4 x 1 = 4

LCM(52,388) = ( 52 × 388 ) / 4

LCM(52,388) = 20176 / 4

LCM(52,388) = 5044


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 7900/52, 5618/388

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 7900/52, 5618/388?

Answer: GCF of Numerators as per given numbers 7900/52, 5618/388 is

GCF of Numerators i.e. for 7900,5618 is 2

LCM of denominators i.e. for 52,388 is 5044.

Thus, GCF of Fractions is 2/5044.Finally, GCF of Fractions for 7900/52, 5618/388 is 2/5044.