Greatest Common Factor of 40/77, 26/40, 80/12, 28/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/77, 26/40, 80/12, 28/199

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 40/77,26/40,80/12,28/199

Given fractions are 40/77,26/40,80/12,28/199

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 40,26,80,28

Greatest Common Factor of Numerators i.e. GCF of 40,26,80,28 is 2 .

LCM of Denominators means LCM of 77,40,12,199 as per the given fractions.

LCM of 77,40,12,199 is 1838760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,26,80,28

GCF of Fractions 40/77,26/40,80/12,28/199 is 2/1838760

2 40, 26, 80, 28
20, 13, 40, 14

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 40,26,80,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,26,80,28 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 28

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

1,2,4,7,14,28

Greatest Common Factor

We found the factors 40,26,80,28 . The biggest common factor number is the GCF number.
So the greatest common factor 40,26,80,28 is 2.

Lets's calculate LCM of 77,40,12,199

2 77, 40, 12, 199
2 77, 20, 6, 199
77, 10, 3, 199

∴ So the LCM of the given numbers is 2 x 2 x 77 x 10 x 3 x 199 = 1838760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1838760

Therefore, the GCF of Fractions 40/77,26/40,80/12,28/199 is 2/1838760

Least Common Multiple of 77,40,12,199 with GCF Formula

Least Common Multiple of 77,40,12,199 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 77,40,12,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,40,12,199) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(77,40,12,199) x common factors =1 x 4 = 4

LCM(77,40,12,199) = ( 77 × 40 × 12 × 199 ) / 4

LCM(77,40,12,199) = 7355040 / 4

LCM(77,40,12,199) = 1838760


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 40/77, 26/40, 80/12, 28/199

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 40/77, 26/40, 80/12, 28/199?

Answer: GCF of Numerators as per given numbers 40/77, 26/40, 80/12, 28/199 is

GCF of Numerators i.e. for 40,26,80,28 is 2

LCM of denominators i.e. for 77,40,12,199 is 1838760.

Thus, GCF of Fractions is 2/1838760.Finally, GCF of Fractions for 40/77, 26/40, 80/12, 28/199 is 2/1838760.