Greatest Common Factor of 981/249, 583/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/249, 583/844

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 981/249,583/844

Given fractions are 981/249,583/844

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 981,583

Greatest Common Factor of Numerators i.e. GCF of 981,583 is 1 .

LCM of Denominators means LCM of 249,844 as per the given fractions.

LCM of 249,844 is 210156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,583

GCF of Fractions 981/249,583/844 is 1/210156

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

Greatest Common Factor of 981,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,583 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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 981,583 . The biggest common factor number is the GCF number.
So the greatest common factor 981,583 is 1.

Lets's calculate LCM of 249,844

Given numbers has no common factors except 1. So, there LCM is their product i.e 210156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210156

Therefore, the GCF of Fractions 981/249,583/844 is 1/210156

Least Common Multiple of 249,844 with GCF Formula

Least Common Multiple of 249,844 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 249,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,844) = 1

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

GCF(249,844) x common factors =1 x 1 = 1

LCM(249,844) = ( 249 × 844 ) / 1

LCM(249,844) = 210156 / 1

LCM(249,844) = 210156


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 981/249, 583/844

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 981/249, 583/844?

Answer: GCF of Numerators as per given numbers 981/249, 583/844 is

GCF of Numerators i.e. for 981,583 is 1

LCM of denominators i.e. for 249,844 is 210156.

Thus, GCF of Fractions is 1/210156.Finally, GCF of Fractions for 981/249, 583/844 is 1/210156.