Greatest Common Factor of 75/98, 801/72, 931/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/98, 801/72, 931/484

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 75/98,801/72,931/484

Given fractions are 75/98,801/72,931/484

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 75,801,931

Greatest Common Factor of Numerators i.e. GCF of 75,801,931 is 1 .

LCM of Denominators means LCM of 98,72,484 as per the given fractions.

LCM of 98,72,484 is 426888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,801,931

GCF of Fractions 75/98,801/72,931/484 is 1/426888

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 75,801,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,801,931 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 75,801,931 . The biggest common factor number is the GCF number.
So the greatest common factor 75,801,931 is 1.

Lets's calculate LCM of 98,72,484

2 98, 72, 484
2 49, 36, 242
49, 18, 121

∴ So the LCM of the given numbers is 2 x 2 x 49 x 18 x 121 = 426888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426888

Therefore, the GCF of Fractions 75/98,801/72,931/484 is 1/426888

Least Common Multiple of 98,72,484 with GCF Formula

Least Common Multiple of 98,72,484 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 98,72,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,72,484) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(98,72,484) x common factors =2 x 4 = 8

LCM(98,72,484) = ( 98 × 72 × 484 ) / 8

LCM(98,72,484) = 3415104 / 8

LCM(98,72,484) = 426888


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 75/98, 801/72, 931/484

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 75/98, 801/72, 931/484?

Answer: GCF of Numerators as per given numbers 75/98, 801/72, 931/484 is

GCF of Numerators i.e. for 75,801,931 is 1

LCM of denominators i.e. for 98,72,484 is 426888.

Thus, GCF of Fractions is 1/426888.Finally, GCF of Fractions for 75/98, 801/72, 931/484 is 1/426888.