Greatest Common Factor of 2080/638, 5916/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2080/638, 5916/300

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 2080/638,5916/300

Given fractions are 2080/638,5916/300

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 2080,5916

Greatest Common Factor of Numerators i.e. GCF of 2080,5916 is 4 .

LCM of Denominators means LCM of 638,300 as per the given fractions.

LCM of 638,300 is 95700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2080,5916

GCF of Fractions 2080/638,5916/300 is 4/95700

2 2080, 5916
2 1040, 2958
520, 1479

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

Greatest Common Factor of 2080,5916 By Matching Biggest Common Factor Method

Greatest Common Factor of 2080,5916 By Matching Biggest Common Factor Method

Factors of 2080

List of positive integer factors of 2080 that divides 2080 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080

Factors of 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Greatest Common Factor

We found the factors 2080,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 2080,5916 is 4.

Lets's calculate LCM of 638,300

2 638, 300
319, 150

∴ So the LCM of the given numbers is 2 x 319 x 150 = 95700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/95700

Therefore, the GCF of Fractions 2080/638,5916/300 is 4/95700

Least Common Multiple of 638,300 with GCF Formula

Least Common Multiple of 638,300 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 638,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,300) = 2

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

GCF(638,300) x common factors =2 x 1 = 2

LCM(638,300) = ( 638 × 300 ) / 2

LCM(638,300) = 191400 / 2

LCM(638,300) = 95700


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 2080/638, 5916/300

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 2080/638, 5916/300?

Answer: GCF of Numerators as per given numbers 2080/638, 5916/300 is

GCF of Numerators i.e. for 2080,5916 is 4

LCM of denominators i.e. for 638,300 is 95700.

Thus, GCF of Fractions is 4/95700.Finally, GCF of Fractions for 2080/638, 5916/300 is 4/95700.