Greatest Common Factor of 1913/41, 5095/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1913/41, 5095/136

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 1913/41,5095/136

Given fractions are 1913/41,5095/136

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 1913,5095

Greatest Common Factor of Numerators i.e. GCF of 1913,5095 is 1 .

LCM of Denominators means LCM of 41,136 as per the given fractions.

LCM of 41,136 is 5576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1913,5095

GCF of Fractions 1913/41,5095/136 is 1/5576

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

Greatest Common Factor of 1913,5095 By Matching Biggest Common Factor Method

Greatest Common Factor of 1913,5095 By Matching Biggest Common Factor Method

Factors of 1913

List of positive integer factors of 1913 that divides 1913 without a remainder.

1,1913

Factors of 5095

List of positive integer factors of 5095 that divides 5095 without a remainder.

1,5,1019,5095

Greatest Common Factor

We found the factors 1913,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,5095 is 1.

Lets's calculate LCM of 41,136

Given numbers has no common factors except 1. So, there LCM is their product i.e 5576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5576

Therefore, the GCF of Fractions 1913/41,5095/136 is 1/5576

Least Common Multiple of 41,136 with GCF Formula

Least Common Multiple of 41,136 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 41,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,136) = 1

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

GCF(41,136) x common factors =1 x 1 = 1

LCM(41,136) = ( 41 × 136 ) / 1

LCM(41,136) = 5576 / 1

LCM(41,136) = 5576


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 1913/41, 5095/136

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 1913/41, 5095/136?

Answer: GCF of Numerators as per given numbers 1913/41, 5095/136 is

GCF of Numerators i.e. for 1913,5095 is 1

LCM of denominators i.e. for 41,136 is 5576.

Thus, GCF of Fractions is 1/5576.Finally, GCF of Fractions for 1913/41, 5095/136 is 1/5576.