Greatest Common Factor of 131/59, 707/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 131/59, 707/586

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 131/59,707/586

Given fractions are 131/59,707/586

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 131,707

Greatest Common Factor of Numerators i.e. GCF of 131,707 is 1 .

LCM of Denominators means LCM of 59,586 as per the given fractions.

LCM of 59,586 is 34574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 131,707

GCF of Fractions 131/59,707/586 is 1/34574

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

Greatest Common Factor of 131,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,707 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 131,707 . The biggest common factor number is the GCF number.
So the greatest common factor 131,707 is 1.

Lets's calculate LCM of 59,586

Given numbers has no common factors except 1. So, there LCM is their product i.e 34574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34574

Therefore, the GCF of Fractions 131/59,707/586 is 1/34574

Least Common Multiple of 59,586 with GCF Formula

Least Common Multiple of 59,586 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 59,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,586) = 1

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

GCF(59,586) x common factors =1 x 1 = 1

LCM(59,586) = ( 59 × 586 ) / 1

LCM(59,586) = 34574 / 1

LCM(59,586) = 34574


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 131/59, 707/586

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 131/59, 707/586?

Answer: GCF of Numerators as per given numbers 131/59, 707/586 is

GCF of Numerators i.e. for 131,707 is 1

LCM of denominators i.e. for 59,586 is 34574.

Thus, GCF of Fractions is 1/34574.Finally, GCF of Fractions for 131/59, 707/586 is 1/34574.