Greatest Common Factor of 940/307, 427/960, 720/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/307, 427/960, 720/188

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 940/307,427/960,720/188

Given fractions are 940/307,427/960,720/188

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 940,427,720

Greatest Common Factor of Numerators i.e. GCF of 940,427,720 is 1 .

LCM of Denominators means LCM of 307,960,188 as per the given fractions.

LCM of 307,960,188 is 13851840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,427,720

GCF of Fractions 940/307,427/960,720/188 is 1/13851840

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

Greatest Common Factor of 940,427,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,427,720 By Matching Biggest Common Factor Method

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 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 940,427,720 . The biggest common factor number is the GCF number.
So the greatest common factor 940,427,720 is 1.

Lets's calculate LCM of 307,960,188

2 307, 960, 188
2 307, 480, 94
307, 240, 47

∴ So the LCM of the given numbers is 2 x 2 x 307 x 240 x 47 = 13851840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13851840

Therefore, the GCF of Fractions 940/307,427/960,720/188 is 1/13851840

Least Common Multiple of 307,960,188 with GCF Formula

Least Common Multiple of 307,960,188 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 307,960,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,960,188) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(307,960,188) x common factors =1 x 4 = 4

LCM(307,960,188) = ( 307 × 960 × 188 ) / 4

LCM(307,960,188) = 55407360 / 4

LCM(307,960,188) = 13851840


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 940/307, 427/960, 720/188

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 940/307, 427/960, 720/188?

Answer: GCF of Numerators as per given numbers 940/307, 427/960, 720/188 is

GCF of Numerators i.e. for 940,427,720 is 1

LCM of denominators i.e. for 307,960,188 is 13851840.

Thus, GCF of Fractions is 1/13851840.Finally, GCF of Fractions for 940/307, 427/960, 720/188 is 1/13851840.