Greatest Common Factor of 40/22, 65/78, 30/16, 43/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/22, 65/78, 30/16, 43/78

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 40/22,65/78,30/16,43/78

Given fractions are 40/22,65/78,30/16,43/78

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 40,65,30,43

Greatest Common Factor of Numerators i.e. GCF of 40,65,30,43 is 1 .

LCM of Denominators means LCM of 22,78,16,78 as per the given fractions.

LCM of 22,78,16,78 is 6864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,65,30,43

GCF of Fractions 40/22,65/78,30/16,43/78 is 1/6864

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

Greatest Common Factor of 40,65,30,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,65,30,43 By Matching Biggest Common Factor Method

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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 40,65,30,43 . The biggest common factor number is the GCF number.
So the greatest common factor 40,65,30,43 is 1.

Lets's calculate LCM of 22,78,16,78

2 22, 78, 16, 78
3 11, 39, 8, 39
13 11, 13, 8, 13
11, 1, 8, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 1 x 8 x 1 = 6864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6864

Therefore, the GCF of Fractions 40/22,65/78,30/16,43/78 is 1/6864

Least Common Multiple of 22,78,16,78 with GCF Formula

Least Common Multiple of 22,78,16,78 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 22,78,16,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,78,16,78) = 2

common factors(in case of two or more numbers have common factors) = 156

GCF(22,78,16,78) x common factors =2 x 156 = 312

LCM(22,78,16,78) = ( 22 × 78 × 16 × 78 ) / 312

LCM(22,78,16,78) = 2141568 / 312

LCM(22,78,16,78) = 6864


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 40/22, 65/78, 30/16, 43/78

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 40/22, 65/78, 30/16, 43/78?

Answer: GCF of Numerators as per given numbers 40/22, 65/78, 30/16, 43/78 is

GCF of Numerators i.e. for 40,65,30,43 is 1

LCM of denominators i.e. for 22,78,16,78 is 6864.

Thus, GCF of Fractions is 1/6864.Finally, GCF of Fractions for 40/22, 65/78, 30/16, 43/78 is 1/6864.