Greatest Common Factor of 71/626, 19/857, 761/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/626, 19/857, 761/342

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 71/626,19/857,761/342

Given fractions are 71/626,19/857,761/342

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 71,19,761

Greatest Common Factor of Numerators i.e. GCF of 71,19,761 is 1 .

LCM of Denominators means LCM of 626,857,342 as per the given fractions.

LCM of 626,857,342 is 91738422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,19,761

GCF of Fractions 71/626,19/857,761/342 is 1/91738422

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

Greatest Common Factor of 71,19,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,19,761 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 71,19,761 . The biggest common factor number is the GCF number.
So the greatest common factor 71,19,761 is 1.

Lets's calculate LCM of 626,857,342

2 626, 857, 342
313, 857, 171

∴ So the LCM of the given numbers is 2 x 313 x 857 x 171 = 91738422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91738422

Therefore, the GCF of Fractions 71/626,19/857,761/342 is 1/91738422

Least Common Multiple of 626,857,342 with GCF Formula

Least Common Multiple of 626,857,342 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 626,857,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,857,342) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(626,857,342) x common factors =1 x 2 = 2

LCM(626,857,342) = ( 626 × 857 × 342 ) / 2

LCM(626,857,342) = 183476844 / 2

LCM(626,857,342) = 91738422


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 71/626, 19/857, 761/342

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 71/626, 19/857, 761/342?

Answer: GCF of Numerators as per given numbers 71/626, 19/857, 761/342 is

GCF of Numerators i.e. for 71,19,761 is 1

LCM of denominators i.e. for 626,857,342 is 91738422.

Thus, GCF of Fractions is 1/91738422.Finally, GCF of Fractions for 71/626, 19/857, 761/342 is 1/91738422.