Greatest Common Factor of 5681/57, 8762/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5681/57, 8762/707

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 5681/57,8762/707

Given fractions are 5681/57,8762/707

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 5681,8762

Greatest Common Factor of Numerators i.e. GCF of 5681,8762 is 13 .

LCM of Denominators means LCM of 57,707 as per the given fractions.

LCM of 57,707 is 40299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5681,8762

GCF of Fractions 5681/57,8762/707 is 13/40299

13 5681, 8762
437, 674

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5681,8762 By Matching Biggest Common Factor Method

Greatest Common Factor of 5681,8762 By Matching Biggest Common Factor Method

Factors of 5681

List of positive integer factors of 5681 that divides 5681 without a remainder.

1,13,19,23,247,299,437,5681

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Greatest Common Factor

We found the factors 5681,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 5681,8762 is 13.

Lets's calculate LCM of 57,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 40299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/40299

Therefore, the GCF of Fractions 5681/57,8762/707 is 13/40299

Least Common Multiple of 57,707 with GCF Formula

Least Common Multiple of 57,707 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 57,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,707) = 1

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

GCF(57,707) x common factors =1 x 1 = 1

LCM(57,707) = ( 57 × 707 ) / 1

LCM(57,707) = 40299 / 1

LCM(57,707) = 40299


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 5681/57, 8762/707

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 5681/57, 8762/707?

Answer: GCF of Numerators as per given numbers 5681/57, 8762/707 is

GCF of Numerators i.e. for 5681,8762 is 13

LCM of denominators i.e. for 57,707 is 40299.

Thus, GCF of Fractions is 13/40299.Finally, GCF of Fractions for 5681/57, 8762/707 is 13/40299.