Greatest Common Factor of 5877/500, 8634/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5877/500, 8634/192

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 5877/500,8634/192

Given fractions are 5877/500,8634/192

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 5877,8634

Greatest Common Factor of Numerators i.e. GCF of 5877,8634 is 3 .

LCM of Denominators means LCM of 500,192 as per the given fractions.

LCM of 500,192 is 24000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5877,8634

GCF of Fractions 5877/500,8634/192 is 3/24000

3 5877, 8634
1959, 2878

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5877,8634 By Matching Biggest Common Factor Method

Greatest Common Factor of 5877,8634 By Matching Biggest Common Factor Method

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1,2,3,6,1439,2878,4317,8634

Greatest Common Factor

We found the factors 5877,8634 . The biggest common factor number is the GCF number.
So the greatest common factor 5877,8634 is 3.

Lets's calculate LCM of 500,192

2 500, 192
2 250, 96
125, 48

∴ So the LCM of the given numbers is 2 x 2 x 125 x 48 = 24000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24000

Therefore, the GCF of Fractions 5877/500,8634/192 is 3/24000

Least Common Multiple of 500,192 with GCF Formula

Least Common Multiple of 500,192 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 500,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,192) = 4

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

GCF(500,192) x common factors =4 x 1 = 4

LCM(500,192) = ( 500 × 192 ) / 4

LCM(500,192) = 96000 / 4

LCM(500,192) = 24000


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 5877/500, 8634/192

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 5877/500, 8634/192?

Answer: GCF of Numerators as per given numbers 5877/500, 8634/192 is

GCF of Numerators i.e. for 5877,8634 is 3

LCM of denominators i.e. for 500,192 is 24000.

Thus, GCF of Fractions is 3/24000.Finally, GCF of Fractions for 5877/500, 8634/192 is 3/24000.