Greatest Common Factor of 1129/972, 2460/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1129/972, 2460/817

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 1129/972,2460/817

Given fractions are 1129/972,2460/817

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 1129,2460

Greatest Common Factor of Numerators i.e. GCF of 1129,2460 is 1 .

LCM of Denominators means LCM of 972,817 as per the given fractions.

LCM of 972,817 is 794124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1129,2460

GCF of Fractions 1129/972,2460/817 is 1/794124

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

Greatest Common Factor of 1129,2460 By Matching Biggest Common Factor Method

Greatest Common Factor of 1129,2460 By Matching Biggest Common Factor Method

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1,1129

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460

Greatest Common Factor

We found the factors 1129,2460 . The biggest common factor number is the GCF number.
So the greatest common factor 1129,2460 is 1.

Lets's calculate LCM of 972,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 794124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/794124

Therefore, the GCF of Fractions 1129/972,2460/817 is 1/794124

Least Common Multiple of 972,817 with GCF Formula

Least Common Multiple of 972,817 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 972,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,817) = 1

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

GCF(972,817) x common factors =1 x 1 = 1

LCM(972,817) = ( 972 × 817 ) / 1

LCM(972,817) = 794124 / 1

LCM(972,817) = 794124


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 1129/972, 2460/817

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 1129/972, 2460/817?

Answer: GCF of Numerators as per given numbers 1129/972, 2460/817 is

GCF of Numerators i.e. for 1129,2460 is 1

LCM of denominators i.e. for 972,817 is 794124.

Thus, GCF of Fractions is 1/794124.Finally, GCF of Fractions for 1129/972, 2460/817 is 1/794124.