Greatest Common Factor of 391/515, 868/622, 861/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 391/515, 868/622, 861/230

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 391/515,868/622,861/230

Given fractions are 391/515,868/622,861/230

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 391,868,861

Greatest Common Factor of Numerators i.e. GCF of 391,868,861 is 1 .

LCM of Denominators means LCM of 515,622,230 as per the given fractions.

LCM of 515,622,230 is 7367590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 391,868,861

GCF of Fractions 391/515,868/622,861/230 is 1/7367590

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

Greatest Common Factor of 391,868,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,868,861 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 391,868,861 . The biggest common factor number is the GCF number.
So the greatest common factor 391,868,861 is 1.

Lets's calculate LCM of 515,622,230

2 515, 622, 230
5 515, 311, 115
103, 311, 23

∴ So the LCM of the given numbers is 2 x 5 x 103 x 311 x 23 = 7367590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7367590

Therefore, the GCF of Fractions 391/515,868/622,861/230 is 1/7367590

Least Common Multiple of 515,622,230 with GCF Formula

Least Common Multiple of 515,622,230 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 515,622,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,622,230) = 1

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

GCF(515,622,230) x common factors =1 x 10 = 10

LCM(515,622,230) = ( 515 × 622 × 230 ) / 10

LCM(515,622,230) = 73675900 / 10

LCM(515,622,230) = 7367590


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 391/515, 868/622, 861/230

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 391/515, 868/622, 861/230?

Answer: GCF of Numerators as per given numbers 391/515, 868/622, 861/230 is

GCF of Numerators i.e. for 391,868,861 is 1

LCM of denominators i.e. for 515,622,230 is 7367590.

Thus, GCF of Fractions is 1/7367590.Finally, GCF of Fractions for 391/515, 868/622, 861/230 is 1/7367590.