Greatest Common Factor of 5188/818, 2152/4978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5188/818, 2152/4978

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 5188/818,2152/4978

Given fractions are 5188/818,2152/4978

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 5188,2152

Greatest Common Factor of Numerators i.e. GCF of 5188,2152 is 4 .

LCM of Denominators means LCM of 818,4978 as per the given fractions.

LCM of 818,4978 is 2036002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5188,2152

GCF of Fractions 5188/818,2152/4978 is 4/2036002

2 5188, 2152
2 2594, 1076
1297, 538

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5188,2152 By Matching Biggest Common Factor Method

Greatest Common Factor of 5188,2152 By Matching Biggest Common Factor Method

Factors of 5188

List of positive integer factors of 5188 that divides 5188 without a remainder.

1,2,4,1297,2594,5188

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

Greatest Common Factor

We found the factors 5188,2152 . The biggest common factor number is the GCF number.
So the greatest common factor 5188,2152 is 4.

Lets's calculate LCM of 818,4978

2 818, 4978
409, 2489

∴ So the LCM of the given numbers is 2 x 409 x 2489 = 2036002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2036002

Therefore, the GCF of Fractions 5188/818,2152/4978 is 4/2036002

Least Common Multiple of 818,4978 with GCF Formula

Least Common Multiple of 818,4978 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 818,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,4978) = 2

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

GCF(818,4978) x common factors =2 x 1 = 2

LCM(818,4978) = ( 818 × 4978 ) / 2

LCM(818,4978) = 4072004 / 2

LCM(818,4978) = 2036002


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 5188/818, 2152/4978

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 5188/818, 2152/4978?

Answer: GCF of Numerators as per given numbers 5188/818, 2152/4978 is

GCF of Numerators i.e. for 5188,2152 is 4

LCM of denominators i.e. for 818,4978 is 2036002.

Thus, GCF of Fractions is 4/2036002.Finally, GCF of Fractions for 5188/818, 2152/4978 is 4/2036002.