Greatest Common Factor of 83/1, 94/8, 70/9, 62/1, 130/8, 22/4, 37/1, 968/3, 22/8, 20/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/1, 94/8, 70/9, 62/1, 130/8, 22/4, 37/1, 968/3, 22/8, 20/2

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 83/1,94/8,70/9,62/1,130/8,22/4,37/1,968/3,22/8,20/2

Given fractions are 83/1,94/8,70/9,62/1,130/8,22/4,37/1,968/3,22/8,20/2

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 83,94,70,62,130,22,37,968,22,20

Greatest Common Factor of Numerators i.e. GCF of 83,94,70,62,130,22,37,968,22,20 is 1 .

LCM of Denominators means LCM of 1,8,9,1,8,4,1,3,8,2 as per the given fractions.

LCM of 1,8,9,1,8,4,1,3,8,2 is 72 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,94,70,62,130,22,37,968,22,20

GCF of Fractions 83/1,94/8,70/9,62/1,130/8,22/4,37/1,968/3,22/8,20/2 is 1/72

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

Greatest Common Factor of 83,94,70,62,130,22,37,968,22,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,94,70,62,130,22,37,968,22,20 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 20

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

1,2,4,5,10,20

Greatest Common Factor

We found the factors 83,94,70,62,130,22,37,968,22,20 . The biggest common factor number is the GCF number.
So the greatest common factor 83,94,70,62,130,22,37,968,22,20 is 1.

Lets's calculate LCM of 1,8,9,1,8,4,1,3,8,2

2 1, 8, 9, 1, 8, 4, 1, 3, 8, 2
2 1, 4, 9, 1, 4, 2, 1, 3, 4, 1
2 1, 1, 9, 1, 2, 2, 1, 3, 2, 1
3 1, 1, 9, 1, 1, 1, 1, 3, 1, 1
1, 1, 1, 1, 1, 1, 1, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 3 x 1 x 1 = 72

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72

Therefore, the GCF of Fractions 83/1,94/8,70/9,62/1,130/8,22/4,37/1,968/3,22/8,20/2 is 1/72

Least Common Multiple of 1,8,9,1,8,4,1,3,8,2 with GCF Formula

Least Common Multiple of 1,8,9,1,8,4,1,3,8,2 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 1,8,9,1,8,4,1,3,8,2 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,8,9,1,8,4,1,3,8,2) = 1

common factors(in case of two or more numbers have common factors) = 1536

GCF(1,8,9,1,8,4,1,3,8,2) x common factors =1 x 1536 = 1536

LCM(1,8,9,1,8,4,1,3,8,2) = ( 1 × 8 × 9 × 1 × 8 × 4 × 1 × 3 × 8 × 2 ) / 1536

LCM(1,8,9,1,8,4,1,3,8,2) = 110592 / 1536

LCM(1,8,9,1,8,4,1,3,8,2) = 72


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 83/1, 94/8, 70/9, 62/1, 130/8, 22/4, 37/1, 968/3, 22/8, 20/2

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 83/1, 94/8, 70/9, 62/1, 130/8, 22/4, 37/1, 968/3, 22/8, 20/2?

Answer: GCF of Numerators as per given numbers 83/1, 94/8, 70/9, 62/1, 130/8, 22/4, 37/1, 968/3, 22/8, 20/2 is

GCF of Numerators i.e. for 83,94,70,62,130,22,37,968,22,20 is 1

LCM of denominators i.e. for 1,8,9,1,8,4,1,3,8,2 is 72.

Thus, GCF of Fractions is 1/72.Finally, GCF of Fractions for 83/1, 94/8, 70/9, 62/1, 130/8, 22/4, 37/1, 968/3, 22/8, 20/2 is 1/72.