Greatest Common Factor of 46/5, 40/8, 94/1, 27/3, 214/7, 28/9, 36/4, 631/7, 45/9, 82/6

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/5, 40/8, 94/1, 27/3, 214/7, 28/9, 36/4, 631/7, 45/9, 82/6

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 46/5,40/8,94/1,27/3,214/7,28/9,36/4,631/7,45/9,82/6

Given fractions are 46/5,40/8,94/1,27/3,214/7,28/9,36/4,631/7,45/9,82/6

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 46,40,94,27,214,28,36,631,45,82

Greatest Common Factor of Numerators i.e. GCF of 46,40,94,27,214,28,36,631,45,82 is 1 .

LCM of Denominators means LCM of 5,8,1,3,7,9,4,7,9,6 as per the given fractions.

LCM of 5,8,1,3,7,9,4,7,9,6 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,40,94,27,214,28,36,631,45,82

GCF of Fractions 46/5,40/8,94/1,27/3,214/7,28/9,36/4,631/7,45/9,82/6 is 1/2520

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

Greatest Common Factor of 46,40,94,27,214,28,36,631,45,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,40,94,27,214,28,36,631,45,82 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 94

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

1,2,47,94

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 46,40,94,27,214,28,36,631,45,82 . The biggest common factor number is the GCF number.
So the greatest common factor 46,40,94,27,214,28,36,631,45,82 is 1.

Lets's calculate LCM of 5,8,1,3,7,9,4,7,9,6

2 5, 8, 1, 3, 7, 9, 4, 7, 9, 6
2 5, 4, 1, 3, 7, 9, 2, 7, 9, 3
3 5, 1, 1, 3, 7, 9, 2, 7, 9, 3
3 5, 1, 1, 1, 7, 1, 2, 7, 3, 3
7 5, 1, 1, 1, 7, 1, 2, 7, 1, 1
5, 1, 1, 1, 1, 1, 2, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 5 x 1 x 1 x 1 x 1 x 1 x 2 x 1 x 1 x 1 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 46/5,40/8,94/1,27/3,214/7,28/9,36/4,631/7,45/9,82/6 is 1/2520

Least Common Multiple of 5,8,1,3,7,9,4,7,9,6 with GCF Formula

Least Common Multiple of 5,8,1,3,7,9,4,7,9,6 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 5,8,1,3,7,9,4,7,9,6 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,8,1,3,7,9,4,7,9,6) = 1

common factors(in case of two or more numbers have common factors) = 4536

GCF(5,8,1,3,7,9,4,7,9,6) x common factors =1 x 4536 = 4536

LCM(5,8,1,3,7,9,4,7,9,6) = ( 5 × 8 × 1 × 3 × 7 × 9 × 4 × 7 × 9 × 6 ) / 4536

LCM(5,8,1,3,7,9,4,7,9,6) = 11430720 / 4536

LCM(5,8,1,3,7,9,4,7,9,6) = 2520


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 46/5, 40/8, 94/1, 27/3, 214/7, 28/9, 36/4, 631/7, 45/9, 82/6

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 46/5, 40/8, 94/1, 27/3, 214/7, 28/9, 36/4, 631/7, 45/9, 82/6?

Answer: GCF of Numerators as per given numbers 46/5, 40/8, 94/1, 27/3, 214/7, 28/9, 36/4, 631/7, 45/9, 82/6 is

GCF of Numerators i.e. for 46,40,94,27,214,28,36,631,45,82 is 1

LCM of denominators i.e. for 5,8,1,3,7,9,4,7,9,6 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 46/5, 40/8, 94/1, 27/3, 214/7, 28/9, 36/4, 631/7, 45/9, 82/6 is 1/2520.