Greatest Common Factor of 78/37, 71/55, 30/18, 43/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/37, 71/55, 30/18, 43/915

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 78/37,71/55,30/18,43/915

Given fractions are 78/37,71/55,30/18,43/915

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 78,71,30,43

Greatest Common Factor of Numerators i.e. GCF of 78,71,30,43 is 1 .

LCM of Denominators means LCM of 37,55,18,915 as per the given fractions.

LCM of 37,55,18,915 is 2234430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,71,30,43

GCF of Fractions 78/37,71/55,30/18,43/915 is 1/2234430

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

Greatest Common Factor of 78,71,30,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,71,30,43 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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 78,71,30,43 . The biggest common factor number is the GCF number.
So the greatest common factor 78,71,30,43 is 1.

Lets's calculate LCM of 37,55,18,915

3 37, 55, 18, 915
5 37, 55, 6, 305
37, 11, 6, 61

∴ So the LCM of the given numbers is 3 x 5 x 37 x 11 x 6 x 61 = 2234430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2234430

Therefore, the GCF of Fractions 78/37,71/55,30/18,43/915 is 1/2234430

Least Common Multiple of 37,55,18,915 with GCF Formula

Least Common Multiple of 37,55,18,915 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 37,55,18,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,55,18,915) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(37,55,18,915) x common factors =1 x 15 = 15

LCM(37,55,18,915) = ( 37 × 55 × 18 × 915 ) / 15

LCM(37,55,18,915) = 33516450 / 15

LCM(37,55,18,915) = 2234430


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 78/37, 71/55, 30/18, 43/915

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 78/37, 71/55, 30/18, 43/915?

Answer: GCF of Numerators as per given numbers 78/37, 71/55, 30/18, 43/915 is

GCF of Numerators i.e. for 78,71,30,43 is 1

LCM of denominators i.e. for 37,55,18,915 is 2234430.

Thus, GCF of Fractions is 1/2234430.Finally, GCF of Fractions for 78/37, 71/55, 30/18, 43/915 is 1/2234430.