Greatest Common Factor of 619/60, 731/29, 312/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 619/60, 731/29, 312/394

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 619/60,731/29,312/394

Given fractions are 619/60,731/29,312/394

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 619,731,312

Greatest Common Factor of Numerators i.e. GCF of 619,731,312 is 1 .

LCM of Denominators means LCM of 60,29,394 as per the given fractions.

LCM of 60,29,394 is 342780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 619,731,312

GCF of Fractions 619/60,731/29,312/394 is 1/342780

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

Greatest Common Factor of 619,731,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,731,312 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 619,731,312 . The biggest common factor number is the GCF number.
So the greatest common factor 619,731,312 is 1.

Lets's calculate LCM of 60,29,394

2 60, 29, 394
30, 29, 197

∴ So the LCM of the given numbers is 2 x 30 x 29 x 197 = 342780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342780

Therefore, the GCF of Fractions 619/60,731/29,312/394 is 1/342780

Least Common Multiple of 60,29,394 with GCF Formula

Least Common Multiple of 60,29,394 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 60,29,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,29,394) = 1

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

GCF(60,29,394) x common factors =1 x 2 = 2

LCM(60,29,394) = ( 60 × 29 × 394 ) / 2

LCM(60,29,394) = 685560 / 2

LCM(60,29,394) = 342780


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 619/60, 731/29, 312/394

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 619/60, 731/29, 312/394?

Answer: GCF of Numerators as per given numbers 619/60, 731/29, 312/394 is

GCF of Numerators i.e. for 619,731,312 is 1

LCM of denominators i.e. for 60,29,394 is 342780.

Thus, GCF of Fractions is 1/342780.Finally, GCF of Fractions for 619/60, 731/29, 312/394 is 1/342780.