Greatest Common Factor of 93/4, 90/9, 40/7, 23/1, 107/2, 94/6, 28/8, 563/1, 15/8, 43/1

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/4, 90/9, 40/7, 23/1, 107/2, 94/6, 28/8, 563/1, 15/8, 43/1

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 93/4,90/9,40/7,23/1,107/2,94/6,28/8,563/1,15/8,43/1

Given fractions are 93/4,90/9,40/7,23/1,107/2,94/6,28/8,563/1,15/8,43/1

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 93,90,40,23,107,94,28,563,15,43

Greatest Common Factor of Numerators i.e. GCF of 93,90,40,23,107,94,28,563,15,43 is 1 .

LCM of Denominators means LCM of 4,9,7,1,2,6,8,1,8,1 as per the given fractions.

LCM of 4,9,7,1,2,6,8,1,8,1 is 504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,90,40,23,107,94,28,563,15,43

GCF of Fractions 93/4,90/9,40/7,23/1,107/2,94/6,28/8,563/1,15/8,43/1 is 1/504

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

Greatest Common Factor of 93,90,40,23,107,94,28,563,15,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,90,40,23,107,94,28,563,15,43 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 23

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

1,23

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 94

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

1,2,47,94

Factors of 28

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

1,2,4,7,14,28

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Greatest Common Factor

We found the factors 93,90,40,23,107,94,28,563,15,43 . The biggest common factor number is the GCF number.
So the greatest common factor 93,90,40,23,107,94,28,563,15,43 is 1.

Lets's calculate LCM of 4,9,7,1,2,6,8,1,8,1

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

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 7 x 1 x 1 x 3 x 1 x 1 x 1 x 1 = 504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504

Therefore, the GCF of Fractions 93/4,90/9,40/7,23/1,107/2,94/6,28/8,563/1,15/8,43/1 is 1/504

Least Common Multiple of 4,9,7,1,2,6,8,1,8,1 with GCF Formula

Least Common Multiple of 4,9,7,1,2,6,8,1,8,1 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 4,9,7,1,2,6,8,1,8,1 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,9,7,1,2,6,8,1,8,1) = 1

common factors(in case of two or more numbers have common factors) = 384

GCF(4,9,7,1,2,6,8,1,8,1) x common factors =1 x 384 = 384

LCM(4,9,7,1,2,6,8,1,8,1) = ( 4 × 9 × 7 × 1 × 2 × 6 × 8 × 1 × 8 × 1 ) / 384

LCM(4,9,7,1,2,6,8,1,8,1) = 193536 / 384

LCM(4,9,7,1,2,6,8,1,8,1) = 504


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 93/4, 90/9, 40/7, 23/1, 107/2, 94/6, 28/8, 563/1, 15/8, 43/1

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 93/4, 90/9, 40/7, 23/1, 107/2, 94/6, 28/8, 563/1, 15/8, 43/1?

Answer: GCF of Numerators as per given numbers 93/4, 90/9, 40/7, 23/1, 107/2, 94/6, 28/8, 563/1, 15/8, 43/1 is

GCF of Numerators i.e. for 93,90,40,23,107,94,28,563,15,43 is 1

LCM of denominators i.e. for 4,9,7,1,2,6,8,1,8,1 is 504.

Thus, GCF of Fractions is 1/504.Finally, GCF of Fractions for 93/4, 90/9, 40/7, 23/1, 107/2, 94/6, 28/8, 563/1, 15/8, 43/1 is 1/504.