Greatest Common Factor of 9731/980, 7481/9254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9731/980, 7481/9254

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 9731/980,7481/9254

Given fractions are 9731/980,7481/9254

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 9731,7481

Greatest Common Factor of Numerators i.e. GCF of 9731,7481 is 1 .

LCM of Denominators means LCM of 980,9254 as per the given fractions.

LCM of 980,9254 is 647780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9731,7481

GCF of Fractions 9731/980,7481/9254 is 1/647780

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

Greatest Common Factor of 9731,7481 By Matching Biggest Common Factor Method

Greatest Common Factor of 9731,7481 By Matching Biggest Common Factor Method

Factors of 9731

List of positive integer factors of 9731 that divides 9731 without a remainder.

1,37,263,9731

Factors of 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1,7481

Greatest Common Factor

We found the factors 9731,7481 . The biggest common factor number is the GCF number.
So the greatest common factor 9731,7481 is 1.

Lets's calculate LCM of 980,9254

2 980, 9254
7 490, 4627
70, 661

∴ So the LCM of the given numbers is 2 x 7 x 70 x 661 = 647780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/647780

Therefore, the GCF of Fractions 9731/980,7481/9254 is 1/647780

Least Common Multiple of 980,9254 with GCF Formula

Least Common Multiple of 980,9254 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 980,9254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,9254) = 14

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

GCF(980,9254) x common factors =14 x 1 = 14

LCM(980,9254) = ( 980 × 9254 ) / 14

LCM(980,9254) = 9068920 / 14

LCM(980,9254) = 647780


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 9731/980, 7481/9254

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 9731/980, 7481/9254?

Answer: GCF of Numerators as per given numbers 9731/980, 7481/9254 is

GCF of Numerators i.e. for 9731,7481 is 1

LCM of denominators i.e. for 980,9254 is 647780.

Thus, GCF of Fractions is 1/647780.Finally, GCF of Fractions for 9731/980, 7481/9254 is 1/647780.