Greatest Common Factor of 83/866, 366/779, 916/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/866, 366/779, 916/433

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 83/866,366/779,916/433

Given fractions are 83/866,366/779,916/433

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 83,366,916

Greatest Common Factor of Numerators i.e. GCF of 83,366,916 is 1 .

LCM of Denominators means LCM of 866,779,433 as per the given fractions.

LCM of 866,779,433 is 674614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,366,916

GCF of Fractions 83/866,366/779,916/433 is 1/674614

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

Greatest Common Factor of 83,366,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,366,916 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 83,366,916 . The biggest common factor number is the GCF number.
So the greatest common factor 83,366,916 is 1.

Lets's calculate LCM of 866,779,433

433 866, 779, 433
2, 779, 1

∴ So the LCM of the given numbers is 433 x 2 x 779 x 1 = 674614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674614

Therefore, the GCF of Fractions 83/866,366/779,916/433 is 1/674614

Least Common Multiple of 866,779,433 with GCF Formula

Least Common Multiple of 866,779,433 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 866,779,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,779,433) = 1

common factors(in case of two or more numbers have common factors) = 433

GCF(866,779,433) x common factors =1 x 433 = 433

LCM(866,779,433) = ( 866 × 779 × 433 ) / 433

LCM(866,779,433) = 292107862 / 433

LCM(866,779,433) = 674614


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 83/866, 366/779, 916/433

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 83/866, 366/779, 916/433?

Answer: GCF of Numerators as per given numbers 83/866, 366/779, 916/433 is

GCF of Numerators i.e. for 83,366,916 is 1

LCM of denominators i.e. for 866,779,433 is 674614.

Thus, GCF of Fractions is 1/674614.Finally, GCF of Fractions for 83/866, 366/779, 916/433 is 1/674614.