Greatest Common Factor of 104/91, 715/1266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/91, 715/1266

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 104/91,715/1266

Given fractions are 104/91,715/1266

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 104,715

Greatest Common Factor of Numerators i.e. GCF of 104,715 is 13 .

LCM of Denominators means LCM of 91,1266 as per the given fractions.

LCM of 91,1266 is 115206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,715

GCF of Fractions 104/91,715/1266 is 13/115206

13 104, 715
8, 55

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

Greatest Common Factor of 104,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,715 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 104,715 . The biggest common factor number is the GCF number.
So the greatest common factor 104,715 is 13.

Lets's calculate LCM of 91,1266

Given numbers has no common factors except 1. So, there LCM is their product i.e 115206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/115206

Therefore, the GCF of Fractions 104/91,715/1266 is 13/115206

Least Common Multiple of 91,1266 with GCF Formula

Least Common Multiple of 91,1266 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 91,1266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,1266) = 1

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

GCF(91,1266) x common factors =1 x 1 = 1

LCM(91,1266) = ( 91 × 1266 ) / 1

LCM(91,1266) = 115206 / 1

LCM(91,1266) = 115206


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 104/91, 715/1266

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 104/91, 715/1266?

Answer: GCF of Numerators as per given numbers 104/91, 715/1266 is

GCF of Numerators i.e. for 104,715 is 13

LCM of denominators i.e. for 91,1266 is 115206.

Thus, GCF of Fractions is 13/115206.Finally, GCF of Fractions for 104/91, 715/1266 is 13/115206.