Greatest Common Factor of 131/30, 7405/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 131/30, 7405/735

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 131/30,7405/735

Given fractions are 131/30,7405/735

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 131,7405

Greatest Common Factor of Numerators i.e. GCF of 131,7405 is 1 .

LCM of Denominators means LCM of 30,735 as per the given fractions.

LCM of 30,735 is 1470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 131,7405

GCF of Fractions 131/30,7405/735 is 1/1470

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

Greatest Common Factor of 131,7405 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,7405 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 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1,5,1481,7405

Greatest Common Factor

We found the factors 131,7405 . The biggest common factor number is the GCF number.
So the greatest common factor 131,7405 is 1.

Lets's calculate LCM of 30,735

3 30, 735
5 10, 245
2, 49

∴ So the LCM of the given numbers is 3 x 5 x 2 x 49 = 1470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1470

Therefore, the GCF of Fractions 131/30,7405/735 is 1/1470

Least Common Multiple of 30,735 with GCF Formula

Least Common Multiple of 30,735 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 30,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,735) = 15

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

GCF(30,735) x common factors =15 x 1 = 15

LCM(30,735) = ( 30 × 735 ) / 15

LCM(30,735) = 22050 / 15

LCM(30,735) = 1470


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 131/30, 7405/735

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 131/30, 7405/735?

Answer: GCF of Numerators as per given numbers 131/30, 7405/735 is

GCF of Numerators i.e. for 131,7405 is 1

LCM of denominators i.e. for 30,735 is 1470.

Thus, GCF of Fractions is 1/1470.Finally, GCF of Fractions for 131/30, 7405/735 is 1/1470.