Greatest Common Factor of 26/2, 67/1, 91/4, 87/3, 283/1, 92/9, 70/9, 914/2, 31/9, 88/1

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/2, 67/1, 91/4, 87/3, 283/1, 92/9, 70/9, 914/2, 31/9, 88/1

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 26/2,67/1,91/4,87/3,283/1,92/9,70/9,914/2,31/9,88/1

Given fractions are 26/2,67/1,91/4,87/3,283/1,92/9,70/9,914/2,31/9,88/1

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 26,67,91,87,283,92,70,914,31,88

Greatest Common Factor of Numerators i.e. GCF of 26,67,91,87,283,92,70,914,31,88 is 1 .

LCM of Denominators means LCM of 2,1,4,3,1,9,9,2,9,1 as per the given fractions.

LCM of 2,1,4,3,1,9,9,2,9,1 is 36 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,67,91,87,283,92,70,914,31,88

GCF of Fractions 26/2,67/1,91/4,87/3,283/1,92/9,70/9,914/2,31/9,88/1 is 1/36

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

Greatest Common Factor of 26,67,91,87,283,92,70,914,31,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,67,91,87,283,92,70,914,31,88 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 91

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

1,7,13,91

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 92

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

1,2,4,23,46,92

Factors of 70

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

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

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 26,67,91,87,283,92,70,914,31,88 . The biggest common factor number is the GCF number.
So the greatest common factor 26,67,91,87,283,92,70,914,31,88 is 1.

Lets's calculate LCM of 2,1,4,3,1,9,9,2,9,1

2 2, 1, 4, 3, 1, 9, 9, 2, 9, 1
3 1, 1, 2, 3, 1, 9, 9, 1, 9, 1
3 1, 1, 2, 1, 1, 3, 3, 1, 3, 1
1, 1, 2, 1, 1, 1, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 2 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 36

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36

Therefore, the GCF of Fractions 26/2,67/1,91/4,87/3,283/1,92/9,70/9,914/2,31/9,88/1 is 1/36

Least Common Multiple of 2,1,4,3,1,9,9,2,9,1 with GCF Formula

Least Common Multiple of 2,1,4,3,1,9,9,2,9,1 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 2,1,4,3,1,9,9,2,9,1 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,1,4,3,1,9,9,2,9,1) = 1

common factors(in case of two or more numbers have common factors) = 972

GCF(2,1,4,3,1,9,9,2,9,1) x common factors =1 x 972 = 972

LCM(2,1,4,3,1,9,9,2,9,1) = ( 2 × 1 × 4 × 3 × 1 × 9 × 9 × 2 × 9 × 1 ) / 972

LCM(2,1,4,3,1,9,9,2,9,1) = 34992 / 972

LCM(2,1,4,3,1,9,9,2,9,1) = 36


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 26/2, 67/1, 91/4, 87/3, 283/1, 92/9, 70/9, 914/2, 31/9, 88/1

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 26/2, 67/1, 91/4, 87/3, 283/1, 92/9, 70/9, 914/2, 31/9, 88/1?

Answer: GCF of Numerators as per given numbers 26/2, 67/1, 91/4, 87/3, 283/1, 92/9, 70/9, 914/2, 31/9, 88/1 is

GCF of Numerators i.e. for 26,67,91,87,283,92,70,914,31,88 is 1

LCM of denominators i.e. for 2,1,4,3,1,9,9,2,9,1 is 36.

Thus, GCF of Fractions is 1/36.Finally, GCF of Fractions for 26/2, 67/1, 91/4, 87/3, 283/1, 92/9, 70/9, 914/2, 31/9, 88/1 is 1/36.