Greatest Common Factor of 2643/82, 4529/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2643/82, 4529/320

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 2643/82,4529/320

Given fractions are 2643/82,4529/320

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 2643,4529

Greatest Common Factor of Numerators i.e. GCF of 2643,4529 is 1 .

LCM of Denominators means LCM of 82,320 as per the given fractions.

LCM of 82,320 is 13120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2643,4529

GCF of Fractions 2643/82,4529/320 is 1/13120

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

Greatest Common Factor of 2643,4529 By Matching Biggest Common Factor Method

Greatest Common Factor of 2643,4529 By Matching Biggest Common Factor Method

Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1,3,881,2643

Factors of 4529

List of positive integer factors of 4529 that divides 4529 without a remainder.

1,7,647,4529

Greatest Common Factor

We found the factors 2643,4529 . The biggest common factor number is the GCF number.
So the greatest common factor 2643,4529 is 1.

Lets's calculate LCM of 82,320

2 82, 320
41, 160

∴ So the LCM of the given numbers is 2 x 41 x 160 = 13120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13120

Therefore, the GCF of Fractions 2643/82,4529/320 is 1/13120

Least Common Multiple of 82,320 with GCF Formula

Least Common Multiple of 82,320 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 82,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,320) = 2

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

GCF(82,320) x common factors =2 x 1 = 2

LCM(82,320) = ( 82 × 320 ) / 2

LCM(82,320) = 26240 / 2

LCM(82,320) = 13120


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 2643/82, 4529/320

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 2643/82, 4529/320?

Answer: GCF of Numerators as per given numbers 2643/82, 4529/320 is

GCF of Numerators i.e. for 2643,4529 is 1

LCM of denominators i.e. for 82,320 is 13120.

Thus, GCF of Fractions is 1/13120.Finally, GCF of Fractions for 2643/82, 4529/320 is 1/13120.