Greatest Common Factor of 713/508, 5689/9412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/508, 5689/9412

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 713/508,5689/9412

Given fractions are 713/508,5689/9412

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 713,5689

Greatest Common Factor of Numerators i.e. GCF of 713,5689 is 1 .

LCM of Denominators means LCM of 508,9412 as per the given fractions.

LCM of 508,9412 is 1195324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,5689

GCF of Fractions 713/508,5689/9412 is 1/1195324

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

Greatest Common Factor of 713,5689 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,5689 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1,5689

Greatest Common Factor

We found the factors 713,5689 . The biggest common factor number is the GCF number.
So the greatest common factor 713,5689 is 1.

Lets's calculate LCM of 508,9412

2 508, 9412
2 254, 4706
127, 2353

∴ So the LCM of the given numbers is 2 x 2 x 127 x 2353 = 1195324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1195324

Therefore, the GCF of Fractions 713/508,5689/9412 is 1/1195324

Least Common Multiple of 508,9412 with GCF Formula

Least Common Multiple of 508,9412 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 508,9412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,9412) = 4

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

GCF(508,9412) x common factors =4 x 1 = 4

LCM(508,9412) = ( 508 × 9412 ) / 4

LCM(508,9412) = 4781296 / 4

LCM(508,9412) = 1195324


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 713/508, 5689/9412

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 713/508, 5689/9412?

Answer: GCF of Numerators as per given numbers 713/508, 5689/9412 is

GCF of Numerators i.e. for 713,5689 is 1

LCM of denominators i.e. for 508,9412 is 1195324.

Thus, GCF of Fractions is 1/1195324.Finally, GCF of Fractions for 713/508, 5689/9412 is 1/1195324.