Greatest Common Factor of 6958/756, 9392/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6958/756, 9392/509

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 6958/756,9392/509

Given fractions are 6958/756,9392/509

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 6958,9392

Greatest Common Factor of Numerators i.e. GCF of 6958,9392 is 2 .

LCM of Denominators means LCM of 756,509 as per the given fractions.

LCM of 756,509 is 384804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6958,9392

GCF of Fractions 6958/756,9392/509 is 2/384804

2 6958, 9392
3479, 4696

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6958,9392 By Matching Biggest Common Factor Method

Greatest Common Factor of 6958,9392 By Matching Biggest Common Factor Method

Factors of 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1,2,7,14,49,71,98,142,497,994,3479,6958

Factors of 9392

List of positive integer factors of 9392 that divides 9392 without a remainder.

1,2,4,8,16,587,1174,2348,4696,9392

Greatest Common Factor

We found the factors 6958,9392 . The biggest common factor number is the GCF number.
So the greatest common factor 6958,9392 is 2.

Lets's calculate LCM of 756,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 384804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/384804

Therefore, the GCF of Fractions 6958/756,9392/509 is 2/384804

Least Common Multiple of 756,509 with GCF Formula

Least Common Multiple of 756,509 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 756,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,509) = 1

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

GCF(756,509) x common factors =1 x 1 = 1

LCM(756,509) = ( 756 × 509 ) / 1

LCM(756,509) = 384804 / 1

LCM(756,509) = 384804


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 6958/756, 9392/509

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 6958/756, 9392/509?

Answer: GCF of Numerators as per given numbers 6958/756, 9392/509 is

GCF of Numerators i.e. for 6958,9392 is 2

LCM of denominators i.e. for 756,509 is 384804.

Thus, GCF of Fractions is 2/384804.Finally, GCF of Fractions for 6958/756, 9392/509 is 2/384804.