Greatest Common Factor of 339/636, 834/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/636, 834/984

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 339/636,834/984

Given fractions are 339/636,834/984

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 339,834

Greatest Common Factor of Numerators i.e. GCF of 339,834 is 3 .

LCM of Denominators means LCM of 636,984 as per the given fractions.

LCM of 636,984 is 52152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,834

GCF of Fractions 339/636,834/984 is 3/52152

3 339, 834
113, 278

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 339,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,834 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 339,834 . The biggest common factor number is the GCF number.
So the greatest common factor 339,834 is 3.

Lets's calculate LCM of 636,984

2 636, 984
2 318, 492
3 159, 246
53, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 82 = 52152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52152

Therefore, the GCF of Fractions 339/636,834/984 is 3/52152

Least Common Multiple of 636,984 with GCF Formula

Least Common Multiple of 636,984 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 636,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,984) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(636,984) x common factors =12 x 1 = 12

LCM(636,984) = ( 636 × 984 ) / 12

LCM(636,984) = 625824 / 12

LCM(636,984) = 52152


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 339/636, 834/984

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 339/636, 834/984?

Answer: GCF of Numerators as per given numbers 339/636, 834/984 is

GCF of Numerators i.e. for 339,834 is 3

LCM of denominators i.e. for 636,984 is 52152.

Thus, GCF of Fractions is 3/52152.Finally, GCF of Fractions for 339/636, 834/984 is 3/52152.