Greatest Common Factor of 981/19, 763/8281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/19, 763/8281

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 981/19,763/8281

Given fractions are 981/19,763/8281

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 981,763

Greatest Common Factor of Numerators i.e. GCF of 981,763 is 109 .

LCM of Denominators means LCM of 19,8281 as per the given fractions.

LCM of 19,8281 is 157339 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,763

GCF of Fractions 981/19,763/8281 is 109/157339

109 981, 763
9, 7

∴ So the GCF of the given numbers is 109 = 109

Greatest Common Factor of 981,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,763 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 981,763 . The biggest common factor number is the GCF number.
So the greatest common factor 981,763 is 109.

Lets's calculate LCM of 19,8281

Given numbers has no common factors except 1. So, there LCM is their product i.e 157339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/157339

Therefore, the GCF of Fractions 981/19,763/8281 is 109/157339

Least Common Multiple of 19,8281 with GCF Formula

Least Common Multiple of 19,8281 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 19,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,8281) = 1

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

GCF(19,8281) x common factors =1 x 1 = 1

LCM(19,8281) = ( 19 × 8281 ) / 1

LCM(19,8281) = 157339 / 1

LCM(19,8281) = 157339


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 981/19, 763/8281

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 981/19, 763/8281?

Answer: GCF of Numerators as per given numbers 981/19, 763/8281 is

GCF of Numerators i.e. for 981,763 is 109

LCM of denominators i.e. for 19,8281 is 157339.

Thus, GCF of Fractions is 109/157339.Finally, GCF of Fractions for 981/19, 763/8281 is 109/157339.