Greatest Common Factor of 836/530, 304/386, 839/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/530, 304/386, 839/210

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 836/530,304/386,839/210

Given fractions are 836/530,304/386,839/210

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 836,304,839

Greatest Common Factor of Numerators i.e. GCF of 836,304,839 is 1 .

LCM of Denominators means LCM of 530,386,210 as per the given fractions.

LCM of 530,386,210 is 2148090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,304,839

GCF of Fractions 836/530,304/386,839/210 is 1/2148090

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

Greatest Common Factor of 836,304,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,304,839 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 836,304,839 . The biggest common factor number is the GCF number.
So the greatest common factor 836,304,839 is 1.

Lets's calculate LCM of 530,386,210

2 530, 386, 210
5 265, 193, 105
53, 193, 21

∴ So the LCM of the given numbers is 2 x 5 x 53 x 193 x 21 = 2148090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2148090

Therefore, the GCF of Fractions 836/530,304/386,839/210 is 1/2148090

Least Common Multiple of 530,386,210 with GCF Formula

Least Common Multiple of 530,386,210 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 530,386,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,386,210) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(530,386,210) x common factors =2 x 10 = 20

LCM(530,386,210) = ( 530 × 386 × 210 ) / 20

LCM(530,386,210) = 42961800 / 20

LCM(530,386,210) = 2148090


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 836/530, 304/386, 839/210

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 836/530, 304/386, 839/210?

Answer: GCF of Numerators as per given numbers 836/530, 304/386, 839/210 is

GCF of Numerators i.e. for 836,304,839 is 1

LCM of denominators i.e. for 530,386,210 is 2148090.

Thus, GCF of Fractions is 1/2148090.Finally, GCF of Fractions for 836/530, 304/386, 839/210 is 1/2148090.