Greatest Common Factor of 7306/432, 7982/5067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7306/432, 7982/5067

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 7306/432,7982/5067

Given fractions are 7306/432,7982/5067

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 7306,7982

Greatest Common Factor of Numerators i.e. GCF of 7306,7982 is 26 .

LCM of Denominators means LCM of 432,5067 as per the given fractions.

LCM of 432,5067 is 243216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7306,7982

GCF of Fractions 7306/432,7982/5067 is 26/243216

2 7306, 7982
13 3653, 3991
281, 307

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 7306,7982 By Matching Biggest Common Factor Method

Greatest Common Factor of 7306,7982 By Matching Biggest Common Factor Method

Factors of 7306

List of positive integer factors of 7306 that divides 7306 without a remainder.

1,2,13,26,281,562,3653,7306

Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1,2,13,26,307,614,3991,7982

Greatest Common Factor

We found the factors 7306,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,7982 is 26.

Lets's calculate LCM of 432,5067

3 432, 5067
3 144, 1689
48, 563

∴ So the LCM of the given numbers is 3 x 3 x 48 x 563 = 243216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/243216

Therefore, the GCF of Fractions 7306/432,7982/5067 is 26/243216

Least Common Multiple of 432,5067 with GCF Formula

Least Common Multiple of 432,5067 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 432,5067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,5067) = 9

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

GCF(432,5067) x common factors =9 x 1 = 9

LCM(432,5067) = ( 432 × 5067 ) / 9

LCM(432,5067) = 2188944 / 9

LCM(432,5067) = 243216


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 7306/432, 7982/5067

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 7306/432, 7982/5067?

Answer: GCF of Numerators as per given numbers 7306/432, 7982/5067 is

GCF of Numerators i.e. for 7306,7982 is 26

LCM of denominators i.e. for 432,5067 is 243216.

Thus, GCF of Fractions is 26/243216.Finally, GCF of Fractions for 7306/432, 7982/5067 is 26/243216.