Greatest Common Factor of 26/70, 20/59, 92/96, 86/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/70, 20/59, 92/96, 86/42

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 26/70,20/59,92/96,86/42

Given fractions are 26/70,20/59,92/96,86/42

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 26,20,92,86

Greatest Common Factor of Numerators i.e. GCF of 26,20,92,86 is 2 .

LCM of Denominators means LCM of 70,59,96,42 as per the given fractions.

LCM of 70,59,96,42 is 198240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,20,92,86

GCF of Fractions 26/70,20/59,92/96,86/42 is 2/198240

2 26, 20, 92, 86
13, 10, 46, 43

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,20,92,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,20,92,86 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 26,20,92,86 . The biggest common factor number is the GCF number.
So the greatest common factor 26,20,92,86 is 2.

Lets's calculate LCM of 70,59,96,42

2 70, 59, 96, 42
3 35, 59, 48, 21
7 35, 59, 16, 7
5, 59, 16, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 59 x 16 x 1 = 198240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198240

Therefore, the GCF of Fractions 26/70,20/59,92/96,86/42 is 2/198240

Least Common Multiple of 70,59,96,42 with GCF Formula

Least Common Multiple of 70,59,96,42 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 70,59,96,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,59,96,42) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(70,59,96,42) x common factors =1 x 84 = 84

LCM(70,59,96,42) = ( 70 × 59 × 96 × 42 ) / 84

LCM(70,59,96,42) = 16652160 / 84

LCM(70,59,96,42) = 198240


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 26/70, 20/59, 92/96, 86/42

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 26/70, 20/59, 92/96, 86/42?

Answer: GCF of Numerators as per given numbers 26/70, 20/59, 92/96, 86/42 is

GCF of Numerators i.e. for 26,20,92,86 is 2

LCM of denominators i.e. for 70,59,96,42 is 198240.

Thus, GCF of Fractions is 2/198240.Finally, GCF of Fractions for 26/70, 20/59, 92/96, 86/42 is 2/198240.