Greatest Common Factor of 71/78, 40/14, 789/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/78, 40/14, 789/921

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 71/78,40/14,789/921

Given fractions are 71/78,40/14,789/921

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 71,40,789

Greatest Common Factor of Numerators i.e. GCF of 71,40,789 is 1 .

LCM of Denominators means LCM of 78,14,921 as per the given fractions.

LCM of 78,14,921 is 167622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,40,789

GCF of Fractions 71/78,40/14,789/921 is 1/167622

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

Greatest Common Factor of 71,40,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,40,789 By Matching Biggest Common Factor Method

Factors of 71

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

1,71

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 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 71,40,789 . The biggest common factor number is the GCF number.
So the greatest common factor 71,40,789 is 1.

Lets's calculate LCM of 78,14,921

2 78, 14, 921
3 39, 7, 921
13, 7, 307

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 307 = 167622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167622

Therefore, the GCF of Fractions 71/78,40/14,789/921 is 1/167622

Least Common Multiple of 78,14,921 with GCF Formula

Least Common Multiple of 78,14,921 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 78,14,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,14,921) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,14,921) x common factors =1 x 6 = 6

LCM(78,14,921) = ( 78 × 14 × 921 ) / 6

LCM(78,14,921) = 1005732 / 6

LCM(78,14,921) = 167622


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 71/78, 40/14, 789/921

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 71/78, 40/14, 789/921?

Answer: GCF of Numerators as per given numbers 71/78, 40/14, 789/921 is

GCF of Numerators i.e. for 71,40,789 is 1

LCM of denominators i.e. for 78,14,921 is 167622.

Thus, GCF of Fractions is 1/167622.Finally, GCF of Fractions for 71/78, 40/14, 789/921 is 1/167622.