Greatest Common Factor of 23/34, 24/66, 40/91, 39/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/34, 24/66, 40/91, 39/462

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 23/34,24/66,40/91,39/462

Given fractions are 23/34,24/66,40/91,39/462

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 23,24,40,39

Greatest Common Factor of Numerators i.e. GCF of 23,24,40,39 is 1 .

LCM of Denominators means LCM of 34,66,91,462 as per the given fractions.

LCM of 34,66,91,462 is 102102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,24,40,39

GCF of Fractions 23/34,24/66,40/91,39/462 is 1/102102

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

Greatest Common Factor of 23,24,40,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,24,40,39 By Matching Biggest Common Factor Method

Factors of 23

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

1,23

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 23,24,40,39 . The biggest common factor number is the GCF number.
So the greatest common factor 23,24,40,39 is 1.

Lets's calculate LCM of 34,66,91,462

2 34, 66, 91, 462
3 17, 33, 91, 231
7 17, 11, 91, 77
11 17, 11, 13, 11
17, 1, 13, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 17 x 1 x 13 x 1 = 102102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102102

Therefore, the GCF of Fractions 23/34,24/66,40/91,39/462 is 1/102102

Least Common Multiple of 34,66,91,462 with GCF Formula

Least Common Multiple of 34,66,91,462 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 34,66,91,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,66,91,462) = 1

common factors(in case of two or more numbers have common factors) = 924

GCF(34,66,91,462) x common factors =1 x 924 = 924

LCM(34,66,91,462) = ( 34 × 66 × 91 × 462 ) / 924

LCM(34,66,91,462) = 94342248 / 924

LCM(34,66,91,462) = 102102


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 23/34, 24/66, 40/91, 39/462

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 23/34, 24/66, 40/91, 39/462?

Answer: GCF of Numerators as per given numbers 23/34, 24/66, 40/91, 39/462 is

GCF of Numerators i.e. for 23,24,40,39 is 1

LCM of denominators i.e. for 34,66,91,462 is 102102.

Thus, GCF of Fractions is 1/102102.Finally, GCF of Fractions for 23/34, 24/66, 40/91, 39/462 is 1/102102.