Greatest Common Factor of 750/20, 891/5096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/20, 891/5096

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 750/20,891/5096

Given fractions are 750/20,891/5096

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 750,891

Greatest Common Factor of Numerators i.e. GCF of 750,891 is 3 .

LCM of Denominators means LCM of 20,5096 as per the given fractions.

LCM of 20,5096 is 25480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,891

GCF of Fractions 750/20,891/5096 is 3/25480

3 750, 891
250, 297

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

Greatest Common Factor of 750,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,891 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 750,891 . The biggest common factor number is the GCF number.
So the greatest common factor 750,891 is 3.

Lets's calculate LCM of 20,5096

2 20, 5096
2 10, 2548
5, 1274

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1274 = 25480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25480

Therefore, the GCF of Fractions 750/20,891/5096 is 3/25480

Least Common Multiple of 20,5096 with GCF Formula

Least Common Multiple of 20,5096 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 20,5096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,5096) = 4

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

GCF(20,5096) x common factors =4 x 1 = 4

LCM(20,5096) = ( 20 × 5096 ) / 4

LCM(20,5096) = 101920 / 4

LCM(20,5096) = 25480


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 750/20, 891/5096

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 750/20, 891/5096?

Answer: GCF of Numerators as per given numbers 750/20, 891/5096 is

GCF of Numerators i.e. for 750,891 is 3

LCM of denominators i.e. for 20,5096 is 25480.

Thus, GCF of Fractions is 3/25480.Finally, GCF of Fractions for 750/20, 891/5096 is 3/25480.