Greatest Common Factor of 13/456, 95/3629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/456, 95/3629

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 13/456,95/3629

Given fractions are 13/456,95/3629

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 13,95

Greatest Common Factor of Numerators i.e. GCF of 13,95 is 1 .

LCM of Denominators means LCM of 456,3629 as per the given fractions.

LCM of 456,3629 is 87096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,95

GCF of Fractions 13/456,95/3629 is 1/87096

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

Greatest Common Factor of 13,95 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,95 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Greatest Common Factor

We found the factors 13,95 . The biggest common factor number is the GCF number.
So the greatest common factor 13,95 is 1.

Lets's calculate LCM of 456,3629

19 456, 3629
24, 191

∴ So the LCM of the given numbers is 19 x 24 x 191 = 87096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87096

Therefore, the GCF of Fractions 13/456,95/3629 is 1/87096

Least Common Multiple of 456,3629 with GCF Formula

Least Common Multiple of 456,3629 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 456,3629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,3629) = 19

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

GCF(456,3629) x common factors =19 x 1 = 19

LCM(456,3629) = ( 456 × 3629 ) / 19

LCM(456,3629) = 1654824 / 19

LCM(456,3629) = 87096


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 13/456, 95/3629

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 13/456, 95/3629?

Answer: GCF of Numerators as per given numbers 13/456, 95/3629 is

GCF of Numerators i.e. for 13,95 is 1

LCM of denominators i.e. for 456,3629 is 87096.

Thus, GCF of Fractions is 1/87096.Finally, GCF of Fractions for 13/456, 95/3629 is 1/87096.