Greatest Common Factor of 2964/82, 1063/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2964/82, 1063/909

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 2964/82,1063/909

Given fractions are 2964/82,1063/909

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 2964,1063

Greatest Common Factor of Numerators i.e. GCF of 2964,1063 is 1 .

LCM of Denominators means LCM of 82,909 as per the given fractions.

LCM of 82,909 is 74538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2964,1063

GCF of Fractions 2964/82,1063/909 is 1/74538

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

Greatest Common Factor of 2964,1063 By Matching Biggest Common Factor Method

Greatest Common Factor of 2964,1063 By Matching Biggest Common Factor Method

Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964

Factors of 1063

List of positive integer factors of 1063 that divides 1063 without a remainder.

1,1063

Greatest Common Factor

We found the factors 2964,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,1063 is 1.

Lets's calculate LCM of 82,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 74538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74538

Therefore, the GCF of Fractions 2964/82,1063/909 is 1/74538

Least Common Multiple of 82,909 with GCF Formula

Least Common Multiple of 82,909 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 82,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,909) = 1

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

GCF(82,909) x common factors =1 x 1 = 1

LCM(82,909) = ( 82 × 909 ) / 1

LCM(82,909) = 74538 / 1

LCM(82,909) = 74538


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 2964/82, 1063/909

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 2964/82, 1063/909?

Answer: GCF of Numerators as per given numbers 2964/82, 1063/909 is

GCF of Numerators i.e. for 2964,1063 is 1

LCM of denominators i.e. for 82,909 is 74538.

Thus, GCF of Fractions is 1/74538.Finally, GCF of Fractions for 2964/82, 1063/909 is 1/74538.