Greatest Common Factor of 7339/713, 7010/5681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7339/713, 7010/5681

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 7339/713,7010/5681

Given fractions are 7339/713,7010/5681

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 7339,7010

Greatest Common Factor of Numerators i.e. GCF of 7339,7010 is 1 .

LCM of Denominators means LCM of 713,5681 as per the given fractions.

LCM of 713,5681 is 176111 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7339,7010

GCF of Fractions 7339/713,7010/5681 is 1/176111

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

Greatest Common Factor of 7339,7010 By Matching Biggest Common Factor Method

Greatest Common Factor of 7339,7010 By Matching Biggest Common Factor Method

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

Factors of 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1,2,5,10,701,1402,3505,7010

Greatest Common Factor

We found the factors 7339,7010 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,7010 is 1.

Lets's calculate LCM of 713,5681

23 713, 5681
31, 247

∴ So the LCM of the given numbers is 23 x 31 x 247 = 176111

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176111

Therefore, the GCF of Fractions 7339/713,7010/5681 is 1/176111

Least Common Multiple of 713,5681 with GCF Formula

Least Common Multiple of 713,5681 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 713,5681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,5681) = 23

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

GCF(713,5681) x common factors =23 x 1 = 23

LCM(713,5681) = ( 713 × 5681 ) / 23

LCM(713,5681) = 4050553 / 23

LCM(713,5681) = 176111


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 7339/713, 7010/5681

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 7339/713, 7010/5681?

Answer: GCF of Numerators as per given numbers 7339/713, 7010/5681 is

GCF of Numerators i.e. for 7339,7010 is 1

LCM of denominators i.e. for 713,5681 is 176111.

Thus, GCF of Fractions is 1/176111.Finally, GCF of Fractions for 7339/713, 7010/5681 is 1/176111.