Greatest Common Factor of 91/65, 59/11, 10/77, 70/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/65, 59/11, 10/77, 70/481

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 91/65,59/11,10/77,70/481

Given fractions are 91/65,59/11,10/77,70/481

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 91,59,10,70

Greatest Common Factor of Numerators i.e. GCF of 91,59,10,70 is 1 .

LCM of Denominators means LCM of 65,11,77,481 as per the given fractions.

LCM of 65,11,77,481 is 185185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,59,10,70

GCF of Fractions 91/65,59/11,10/77,70/481 is 1/185185

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

Greatest Common Factor of 91,59,10,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,59,10,70 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 91,59,10,70 . The biggest common factor number is the GCF number.
So the greatest common factor 91,59,10,70 is 1.

Lets's calculate LCM of 65,11,77,481

11 65, 11, 77, 481
13 65, 1, 7, 481
5, 1, 7, 37

∴ So the LCM of the given numbers is 11 x 13 x 5 x 1 x 7 x 37 = 185185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185185

Therefore, the GCF of Fractions 91/65,59/11,10/77,70/481 is 1/185185

Least Common Multiple of 65,11,77,481 with GCF Formula

Least Common Multiple of 65,11,77,481 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 65,11,77,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,11,77,481) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(65,11,77,481) x common factors =1 x 143 = 143

LCM(65,11,77,481) = ( 65 × 11 × 77 × 481 ) / 143

LCM(65,11,77,481) = 26481455 / 143

LCM(65,11,77,481) = 185185


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 91/65, 59/11, 10/77, 70/481

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 91/65, 59/11, 10/77, 70/481?

Answer: GCF of Numerators as per given numbers 91/65, 59/11, 10/77, 70/481 is

GCF of Numerators i.e. for 91,59,10,70 is 1

LCM of denominators i.e. for 65,11,77,481 is 185185.

Thus, GCF of Fractions is 1/185185.Finally, GCF of Fractions for 91/65, 59/11, 10/77, 70/481 is 1/185185.