Greatest Common Factor of 838/586, 322/612, 237/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 838/586, 322/612, 237/590

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 838/586,322/612,237/590

Given fractions are 838/586,322/612,237/590

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 838,322,237

Greatest Common Factor of Numerators i.e. GCF of 838,322,237 is 1 .

LCM of Denominators means LCM of 586,612,590 as per the given fractions.

LCM of 586,612,590 is 52898220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 838,322,237

GCF of Fractions 838/586,322/612,237/590 is 1/52898220

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

Greatest Common Factor of 838,322,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,322,237 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 838,322,237 . The biggest common factor number is the GCF number.
So the greatest common factor 838,322,237 is 1.

Lets's calculate LCM of 586,612,590

2 586, 612, 590
293, 306, 295

∴ So the LCM of the given numbers is 2 x 293 x 306 x 295 = 52898220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52898220

Therefore, the GCF of Fractions 838/586,322/612,237/590 is 1/52898220

Least Common Multiple of 586,612,590 with GCF Formula

Least Common Multiple of 586,612,590 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 586,612,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,612,590) = 2

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

GCF(586,612,590) x common factors =2 x 2 = 4

LCM(586,612,590) = ( 586 × 612 × 590 ) / 4

LCM(586,612,590) = 211592880 / 4

LCM(586,612,590) = 52898220


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 838/586, 322/612, 237/590

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 838/586, 322/612, 237/590?

Answer: GCF of Numerators as per given numbers 838/586, 322/612, 237/590 is

GCF of Numerators i.e. for 838,322,237 is 1

LCM of denominators i.e. for 586,612,590 is 52898220.

Thus, GCF of Fractions is 1/52898220.Finally, GCF of Fractions for 838/586, 322/612, 237/590 is 1/52898220.