Greatest Common Factor of 80/39, 594/26, 414/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/39, 594/26, 414/103

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 80/39,594/26,414/103

Given fractions are 80/39,594/26,414/103

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 80,594,414

Greatest Common Factor of Numerators i.e. GCF of 80,594,414 is 2 .

LCM of Denominators means LCM of 39,26,103 as per the given fractions.

LCM of 39,26,103 is 8034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,594,414

GCF of Fractions 80/39,594/26,414/103 is 2/8034

2 80, 594, 414
40, 297, 207

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

Greatest Common Factor of 80,594,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,594,414 By Matching Biggest Common Factor Method

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 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 80,594,414 . The biggest common factor number is the GCF number.
So the greatest common factor 80,594,414 is 2.

Lets's calculate LCM of 39,26,103

13 39, 26, 103
3, 2, 103

∴ So the LCM of the given numbers is 13 x 3 x 2 x 103 = 8034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8034

Therefore, the GCF of Fractions 80/39,594/26,414/103 is 2/8034

Least Common Multiple of 39,26,103 with GCF Formula

Least Common Multiple of 39,26,103 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 39,26,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,26,103) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(39,26,103) x common factors =1 x 13 = 13

LCM(39,26,103) = ( 39 × 26 × 103 ) / 13

LCM(39,26,103) = 104442 / 13

LCM(39,26,103) = 8034


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 80/39, 594/26, 414/103

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 80/39, 594/26, 414/103?

Answer: GCF of Numerators as per given numbers 80/39, 594/26, 414/103 is

GCF of Numerators i.e. for 80,594,414 is 2

LCM of denominators i.e. for 39,26,103 is 8034.

Thus, GCF of Fractions is 2/8034.Finally, GCF of Fractions for 80/39, 594/26, 414/103 is 2/8034.