Greatest Common Factor of 720/48, 377/18, 747/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/48, 377/18, 747/442

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 720/48,377/18,747/442

Given fractions are 720/48,377/18,747/442

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 720,377,747

Greatest Common Factor of Numerators i.e. GCF of 720,377,747 is 1 .

LCM of Denominators means LCM of 48,18,442 as per the given fractions.

LCM of 48,18,442 is 31824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,377,747

GCF of Fractions 720/48,377/18,747/442 is 1/31824

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

Greatest Common Factor of 720,377,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,377,747 By Matching Biggest Common Factor Method

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

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 720,377,747 . The biggest common factor number is the GCF number.
So the greatest common factor 720,377,747 is 1.

Lets's calculate LCM of 48,18,442

2 48, 18, 442
3 24, 9, 221
8, 3, 221

∴ So the LCM of the given numbers is 2 x 3 x 8 x 3 x 221 = 31824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31824

Therefore, the GCF of Fractions 720/48,377/18,747/442 is 1/31824

Least Common Multiple of 48,18,442 with GCF Formula

Least Common Multiple of 48,18,442 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 48,18,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,18,442) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(48,18,442) x common factors =2 x 6 = 12

LCM(48,18,442) = ( 48 × 18 × 442 ) / 12

LCM(48,18,442) = 381888 / 12

LCM(48,18,442) = 31824


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 720/48, 377/18, 747/442

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 720/48, 377/18, 747/442?

Answer: GCF of Numerators as per given numbers 720/48, 377/18, 747/442 is

GCF of Numerators i.e. for 720,377,747 is 1

LCM of denominators i.e. for 48,18,442 is 31824.

Thus, GCF of Fractions is 1/31824.Finally, GCF of Fractions for 720/48, 377/18, 747/442 is 1/31824.