Greatest Common Factor of 934/586, 379/504, 831/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 934/586, 379/504, 831/693

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 934/586,379/504,831/693

Given fractions are 934/586,379/504,831/693

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 934,379,831

Greatest Common Factor of Numerators i.e. GCF of 934,379,831 is 1 .

LCM of Denominators means LCM of 586,504,693 as per the given fractions.

LCM of 586,504,693 is 1624392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 934,379,831

GCF of Fractions 934/586,379/504,831/693 is 1/1624392

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

Greatest Common Factor of 934,379,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,379,831 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 934,379,831 . The biggest common factor number is the GCF number.
So the greatest common factor 934,379,831 is 1.

Lets's calculate LCM of 586,504,693

2 586, 504, 693
3 293, 252, 693
3 293, 84, 231
7 293, 28, 77
293, 4, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 293 x 4 x 11 = 1624392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624392

Therefore, the GCF of Fractions 934/586,379/504,831/693 is 1/1624392

Least Common Multiple of 586,504,693 with GCF Formula

Least Common Multiple of 586,504,693 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 586,504,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,504,693) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(586,504,693) x common factors =1 x 126 = 126

LCM(586,504,693) = ( 586 × 504 × 693 ) / 126

LCM(586,504,693) = 204673392 / 126

LCM(586,504,693) = 1624392


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 934/586, 379/504, 831/693

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 934/586, 379/504, 831/693?

Answer: GCF of Numerators as per given numbers 934/586, 379/504, 831/693 is

GCF of Numerators i.e. for 934,379,831 is 1

LCM of denominators i.e. for 586,504,693 is 1624392.

Thus, GCF of Fractions is 1/1624392.Finally, GCF of Fractions for 934/586, 379/504, 831/693 is 1/1624392.