Greatest Common Factor of 315/96, 940/27, 514/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 315/96, 940/27, 514/415

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 315/96,940/27,514/415

Given fractions are 315/96,940/27,514/415

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 315,940,514

Greatest Common Factor of Numerators i.e. GCF of 315,940,514 is 1 .

LCM of Denominators means LCM of 96,27,415 as per the given fractions.

LCM of 96,27,415 is 358560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 315,940,514

GCF of Fractions 315/96,940/27,514/415 is 1/358560

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

Greatest Common Factor of 315,940,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,940,514 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 315,940,514 . The biggest common factor number is the GCF number.
So the greatest common factor 315,940,514 is 1.

Lets's calculate LCM of 96,27,415

3 96, 27, 415
32, 9, 415

∴ So the LCM of the given numbers is 3 x 32 x 9 x 415 = 358560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358560

Therefore, the GCF of Fractions 315/96,940/27,514/415 is 1/358560

Least Common Multiple of 96,27,415 with GCF Formula

Least Common Multiple of 96,27,415 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 96,27,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,27,415) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,27,415) x common factors =1 x 3 = 3

LCM(96,27,415) = ( 96 × 27 × 415 ) / 3

LCM(96,27,415) = 1075680 / 3

LCM(96,27,415) = 358560


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 315/96, 940/27, 514/415

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 315/96, 940/27, 514/415?

Answer: GCF of Numerators as per given numbers 315/96, 940/27, 514/415 is

GCF of Numerators i.e. for 315,940,514 is 1

LCM of denominators i.e. for 96,27,415 is 358560.

Thus, GCF of Fractions is 1/358560.Finally, GCF of Fractions for 315/96, 940/27, 514/415 is 1/358560.