Greatest Common Factor of 981/923, 144/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/923, 144/766

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 981/923,144/766

Given fractions are 981/923,144/766

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 981,144

Greatest Common Factor of Numerators i.e. GCF of 981,144 is 9 .

LCM of Denominators means LCM of 923,766 as per the given fractions.

LCM of 923,766 is 707018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,144

GCF of Fractions 981/923,144/766 is 9/707018

3 981, 144
3 327, 48
109, 16

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 981,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,144 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 981,144 . The biggest common factor number is the GCF number.
So the greatest common factor 981,144 is 9.

Lets's calculate LCM of 923,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 707018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/707018

Therefore, the GCF of Fractions 981/923,144/766 is 9/707018

Least Common Multiple of 923,766 with GCF Formula

Least Common Multiple of 923,766 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 923,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,766) = 1

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

GCF(923,766) x common factors =1 x 1 = 1

LCM(923,766) = ( 923 × 766 ) / 1

LCM(923,766) = 707018 / 1

LCM(923,766) = 707018


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 981/923, 144/766

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 981/923, 144/766?

Answer: GCF of Numerators as per given numbers 981/923, 144/766 is

GCF of Numerators i.e. for 981,144 is 9

LCM of denominators i.e. for 923,766 is 707018.

Thus, GCF of Fractions is 9/707018.Finally, GCF of Fractions for 981/923, 144/766 is 9/707018.