Greatest Common Factor of 8996/41, 2500/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8996/41, 2500/287

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 8996/41,2500/287

Given fractions are 8996/41,2500/287

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 8996,2500

Greatest Common Factor of Numerators i.e. GCF of 8996,2500 is 4 .

LCM of Denominators means LCM of 41,287 as per the given fractions.

LCM of 41,287 is 287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8996,2500

GCF of Fractions 8996/41,2500/287 is 4/287

2 8996, 2500
2 4498, 1250
2249, 625

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

Greatest Common Factor of 8996,2500 By Matching Biggest Common Factor Method

Greatest Common Factor of 8996,2500 By Matching Biggest Common Factor Method

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Greatest Common Factor

We found the factors 8996,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 8996,2500 is 4.

Lets's calculate LCM of 41,287

41 41, 287
1, 7

∴ So the LCM of the given numbers is 41 x 1 x 7 = 287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/287

Therefore, the GCF of Fractions 8996/41,2500/287 is 4/287

Least Common Multiple of 41,287 with GCF Formula

Least Common Multiple of 41,287 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 41,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,287) = 41

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

GCF(41,287) x common factors =41 x 1 = 41

LCM(41,287) = ( 41 × 287 ) / 41

LCM(41,287) = 11767 / 41

LCM(41,287) = 287


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 8996/41, 2500/287

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 8996/41, 2500/287?

Answer: GCF of Numerators as per given numbers 8996/41, 2500/287 is

GCF of Numerators i.e. for 8996,2500 is 4

LCM of denominators i.e. for 41,287 is 287.

Thus, GCF of Fractions is 4/287.Finally, GCF of Fractions for 8996/41, 2500/287 is 4/287.