Greatest Common Factor of 866/686, 376/522, 107/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 866/686, 376/522, 107/786

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 866/686,376/522,107/786

Given fractions are 866/686,376/522,107/786

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 866,376,107

Greatest Common Factor of Numerators i.e. GCF of 866,376,107 is 1 .

LCM of Denominators means LCM of 686,522,786 as per the given fractions.

LCM of 686,522,786 is 23455026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 866,376,107

GCF of Fractions 866/686,376/522,107/786 is 1/23455026

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

Greatest Common Factor of 866,376,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,376,107 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 866,376,107 . The biggest common factor number is the GCF number.
So the greatest common factor 866,376,107 is 1.

Lets's calculate LCM of 686,522,786

2 686, 522, 786
3 343, 261, 393
343, 87, 131

∴ So the LCM of the given numbers is 2 x 3 x 343 x 87 x 131 = 23455026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23455026

Therefore, the GCF of Fractions 866/686,376/522,107/786 is 1/23455026

Least Common Multiple of 686,522,786 with GCF Formula

Least Common Multiple of 686,522,786 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 686,522,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,522,786) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(686,522,786) x common factors =2 x 6 = 12

LCM(686,522,786) = ( 686 × 522 × 786 ) / 12

LCM(686,522,786) = 281460312 / 12

LCM(686,522,786) = 23455026


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 866/686, 376/522, 107/786

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 866/686, 376/522, 107/786?

Answer: GCF of Numerators as per given numbers 866/686, 376/522, 107/786 is

GCF of Numerators i.e. for 866,376,107 is 1

LCM of denominators i.e. for 686,522,786 is 23455026.

Thus, GCF of Fractions is 1/23455026.Finally, GCF of Fractions for 866/686, 376/522, 107/786 is 1/23455026.