Greatest Common Factor of 4188/910, 5928/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4188/910, 5928/898

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 4188/910,5928/898

Given fractions are 4188/910,5928/898

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 4188,5928

Greatest Common Factor of Numerators i.e. GCF of 4188,5928 is 12 .

LCM of Denominators means LCM of 910,898 as per the given fractions.

LCM of 910,898 is 408590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4188,5928

GCF of Fractions 4188/910,5928/898 is 12/408590

2 4188, 5928
2 2094, 2964
3 1047, 1482
349, 494

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4188,5928 By Matching Biggest Common Factor Method

Greatest Common Factor of 4188,5928 By Matching Biggest Common Factor Method

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1,2,3,4,6,12,349,698,1047,1396,2094,4188

Factors of 5928

List of positive integer factors of 5928 that divides 5928 without a remainder.

1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928

Greatest Common Factor

We found the factors 4188,5928 . The biggest common factor number is the GCF number.
So the greatest common factor 4188,5928 is 12.

Lets's calculate LCM of 910,898

2 910, 898
455, 449

∴ So the LCM of the given numbers is 2 x 455 x 449 = 408590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/408590

Therefore, the GCF of Fractions 4188/910,5928/898 is 12/408590

Least Common Multiple of 910,898 with GCF Formula

Least Common Multiple of 910,898 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 910,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,898) = 2

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

GCF(910,898) x common factors =2 x 1 = 2

LCM(910,898) = ( 910 × 898 ) / 2

LCM(910,898) = 817180 / 2

LCM(910,898) = 408590


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 4188/910, 5928/898

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 4188/910, 5928/898?

Answer: GCF of Numerators as per given numbers 4188/910, 5928/898 is

GCF of Numerators i.e. for 4188,5928 is 12

LCM of denominators i.e. for 910,898 is 408590.

Thus, GCF of Fractions is 12/408590.Finally, GCF of Fractions for 4188/910, 5928/898 is 12/408590.