Greatest Common Factor of 686/208, 836/468, 871/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/208, 836/468, 871/391

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 686/208,836/468,871/391

Given fractions are 686/208,836/468,871/391

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 686,836,871

Greatest Common Factor of Numerators i.e. GCF of 686,836,871 is 1 .

LCM of Denominators means LCM of 208,468,391 as per the given fractions.

LCM of 208,468,391 is 731952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,836,871

GCF of Fractions 686/208,836/468,871/391 is 1/731952

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

Greatest Common Factor of 686,836,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,836,871 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 686,836,871 . The biggest common factor number is the GCF number.
So the greatest common factor 686,836,871 is 1.

Lets's calculate LCM of 208,468,391

2 208, 468, 391
2 104, 234, 391
13 52, 117, 391
4, 9, 391

∴ So the LCM of the given numbers is 2 x 2 x 13 x 4 x 9 x 391 = 731952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/731952

Therefore, the GCF of Fractions 686/208,836/468,871/391 is 1/731952

Least Common Multiple of 208,468,391 with GCF Formula

Least Common Multiple of 208,468,391 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 208,468,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,468,391) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(208,468,391) x common factors =1 x 52 = 52

LCM(208,468,391) = ( 208 × 468 × 391 ) / 52

LCM(208,468,391) = 38061504 / 52

LCM(208,468,391) = 731952


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 686/208, 836/468, 871/391

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 686/208, 836/468, 871/391?

Answer: GCF of Numerators as per given numbers 686/208, 836/468, 871/391 is

GCF of Numerators i.e. for 686,836,871 is 1

LCM of denominators i.e. for 208,468,391 is 731952.

Thus, GCF of Fractions is 1/731952.Finally, GCF of Fractions for 686/208, 836/468, 871/391 is 1/731952.