Greatest Common Factor of 9329/782, 5109/6206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9329/782, 5109/6206

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 9329/782,5109/6206

Given fractions are 9329/782,5109/6206

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 9329,5109

Greatest Common Factor of Numerators i.e. GCF of 9329,5109 is 1 .

LCM of Denominators means LCM of 782,6206 as per the given fractions.

LCM of 782,6206 is 2426546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9329,5109

GCF of Fractions 9329/782,5109/6206 is 1/2426546

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

Greatest Common Factor of 9329,5109 By Matching Biggest Common Factor Method

Greatest Common Factor of 9329,5109 By Matching Biggest Common Factor Method

Factors of 9329

List of positive integer factors of 9329 that divides 9329 without a remainder.

1,19,491,9329

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

Greatest Common Factor

We found the factors 9329,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 9329,5109 is 1.

Lets's calculate LCM of 782,6206

2 782, 6206
391, 3103

∴ So the LCM of the given numbers is 2 x 391 x 3103 = 2426546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2426546

Therefore, the GCF of Fractions 9329/782,5109/6206 is 1/2426546

Least Common Multiple of 782,6206 with GCF Formula

Least Common Multiple of 782,6206 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 782,6206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,6206) = 2

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

GCF(782,6206) x common factors =2 x 1 = 2

LCM(782,6206) = ( 782 × 6206 ) / 2

LCM(782,6206) = 4853092 / 2

LCM(782,6206) = 2426546


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 9329/782, 5109/6206

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 9329/782, 5109/6206?

Answer: GCF of Numerators as per given numbers 9329/782, 5109/6206 is

GCF of Numerators i.e. for 9329,5109 is 1

LCM of denominators i.e. for 782,6206 is 2426546.

Thus, GCF of Fractions is 1/2426546.Finally, GCF of Fractions for 9329/782, 5109/6206 is 1/2426546.