Greatest Common Factor of 71/542, 789/726, 364/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/542, 789/726, 364/174

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 71/542,789/726,364/174

Given fractions are 71/542,789/726,364/174

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 71,789,364

Greatest Common Factor of Numerators i.e. GCF of 71,789,364 is 1 .

LCM of Denominators means LCM of 542,726,174 as per the given fractions.

LCM of 542,726,174 is 5705634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,789,364

GCF of Fractions 71/542,789/726,364/174 is 1/5705634

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

Greatest Common Factor of 71,789,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,789,364 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 789

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

1,3,263,789

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 71,789,364 . The biggest common factor number is the GCF number.
So the greatest common factor 71,789,364 is 1.

Lets's calculate LCM of 542,726,174

2 542, 726, 174
3 271, 363, 87
271, 121, 29

∴ So the LCM of the given numbers is 2 x 3 x 271 x 121 x 29 = 5705634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5705634

Therefore, the GCF of Fractions 71/542,789/726,364/174 is 1/5705634

Least Common Multiple of 542,726,174 with GCF Formula

Least Common Multiple of 542,726,174 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 542,726,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,726,174) = 2

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

GCF(542,726,174) x common factors =2 x 6 = 12

LCM(542,726,174) = ( 542 × 726 × 174 ) / 12

LCM(542,726,174) = 68467608 / 12

LCM(542,726,174) = 5705634


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 71/542, 789/726, 364/174

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 71/542, 789/726, 364/174?

Answer: GCF of Numerators as per given numbers 71/542, 789/726, 364/174 is

GCF of Numerators i.e. for 71,789,364 is 1

LCM of denominators i.e. for 542,726,174 is 5705634.

Thus, GCF of Fractions is 1/5705634.Finally, GCF of Fractions for 71/542, 789/726, 364/174 is 1/5705634.