Greatest Common Factor of 972/749, 317/241, 810/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/749, 317/241, 810/783

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 972/749,317/241,810/783

Given fractions are 972/749,317/241,810/783

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 972,317,810

Greatest Common Factor of Numerators i.e. GCF of 972,317,810 is 1 .

LCM of Denominators means LCM of 749,241,783 as per the given fractions.

LCM of 749,241,783 is 141338547 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,317,810

GCF of Fractions 972/749,317/241,810/783 is 1/141338547

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

Greatest Common Factor of 972,317,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,317,810 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 972,317,810 . The biggest common factor number is the GCF number.
So the greatest common factor 972,317,810 is 1.

Lets's calculate LCM of 749,241,783

Given numbers has no common factors except 1. So, there LCM is their product i.e 141338547

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141338547

Therefore, the GCF of Fractions 972/749,317/241,810/783 is 1/141338547

Least Common Multiple of 749,241,783 with GCF Formula

Least Common Multiple of 749,241,783 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 749,241,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,241,783) = 1

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

GCF(749,241,783) x common factors =1 x 1 = 1

LCM(749,241,783) = ( 749 × 241 × 783 ) / 1

LCM(749,241,783) = 141338547 / 1

LCM(749,241,783) = 141338547


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 972/749, 317/241, 810/783

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 972/749, 317/241, 810/783?

Answer: GCF of Numerators as per given numbers 972/749, 317/241, 810/783 is

GCF of Numerators i.e. for 972,317,810 is 1

LCM of denominators i.e. for 749,241,783 is 141338547.

Thus, GCF of Fractions is 1/141338547.Finally, GCF of Fractions for 972/749, 317/241, 810/783 is 1/141338547.