Greatest Common Factor of 23/16, 91/35, 17/20, 29/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/16, 91/35, 17/20, 29/260

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 23/16,91/35,17/20,29/260

Given fractions are 23/16,91/35,17/20,29/260

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 23,91,17,29

Greatest Common Factor of Numerators i.e. GCF of 23,91,17,29 is 1 .

LCM of Denominators means LCM of 16,35,20,260 as per the given fractions.

LCM of 16,35,20,260 is 7280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,91,17,29

GCF of Fractions 23/16,91/35,17/20,29/260 is 1/7280

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

Greatest Common Factor of 23,91,17,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,91,17,29 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 91

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

1,7,13,91

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Greatest Common Factor

We found the factors 23,91,17,29 . The biggest common factor number is the GCF number.
So the greatest common factor 23,91,17,29 is 1.

Lets's calculate LCM of 16,35,20,260

2 16, 35, 20, 260
2 8, 35, 10, 130
5 4, 35, 5, 65
4, 7, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 7 x 1 x 13 = 7280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7280

Therefore, the GCF of Fractions 23/16,91/35,17/20,29/260 is 1/7280

Least Common Multiple of 16,35,20,260 with GCF Formula

Least Common Multiple of 16,35,20,260 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 16,35,20,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,35,20,260) = 1

common factors(in case of two or more numbers have common factors) = 400

GCF(16,35,20,260) x common factors =1 x 400 = 400

LCM(16,35,20,260) = ( 16 × 35 × 20 × 260 ) / 400

LCM(16,35,20,260) = 2912000 / 400

LCM(16,35,20,260) = 7280


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 23/16, 91/35, 17/20, 29/260

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 23/16, 91/35, 17/20, 29/260?

Answer: GCF of Numerators as per given numbers 23/16, 91/35, 17/20, 29/260 is

GCF of Numerators i.e. for 23,91,17,29 is 1

LCM of denominators i.e. for 16,35,20,260 is 7280.

Thus, GCF of Fractions is 1/7280.Finally, GCF of Fractions for 23/16, 91/35, 17/20, 29/260 is 1/7280.