Greatest Common Factor of 215/865, 329/936, 934/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 215/865, 329/936, 934/741

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 215/865,329/936,934/741

Given fractions are 215/865,329/936,934/741

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 215,329,934

Greatest Common Factor of Numerators i.e. GCF of 215,329,934 is 1 .

LCM of Denominators means LCM of 865,936,741 as per the given fractions.

LCM of 865,936,741 is 15383160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 215,329,934

GCF of Fractions 215/865,329/936,934/741 is 1/15383160

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

Greatest Common Factor of 215,329,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,329,934 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 215,329,934 . The biggest common factor number is the GCF number.
So the greatest common factor 215,329,934 is 1.


Lets's calculate LCM of 865,936,741

3 865, 936, 741
13 865, 312, 247
865, 24, 19

∴ So the LCM of the given numbers is 3 x 13 x 865 x 24 x 19 = 15383160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15383160

Therefore, the GCF of Fractions 215/865,329/936,934/741 is 1/15383160

Least Common Multiple of 865,936,741 with GCF Formula

Least Common Multiple of 865,936,741 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 865,936,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,936,741) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(865,936,741) x common factors =1 x 39 = 39

LCM(865,936,741) = ( 865 × 936 × 741 ) / 39

LCM(865,936,741) = 599943240 / 39

LCM(865,936,741) = 15383160


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 215/865, 329/936, 934/741

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 215/865, 329/936, 934/741?

Answer: GCF of Numerators as per given numbers 215/865, 329/936, 934/741 is

GCF of Numerators i.e. for 215,329,934 is 1

LCM of denominators i.e. for 865,936,741 is 15383160.

Thus, GCF of Fractions is 1/15383160.Finally, GCF of Fractions for 215/865, 329/936, 934/741 is 1/15383160.