Greatest Common Factor of 720/84, 406/53, 918/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/84, 406/53, 918/20

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 720/84,406/53,918/20

Given fractions are 720/84,406/53,918/20

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 720,406,918

Greatest Common Factor of Numerators i.e. GCF of 720,406,918 is 2 .

LCM of Denominators means LCM of 84,53,20 as per the given fractions.

LCM of 84,53,20 is 22260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,406,918

GCF of Fractions 720/84,406/53,918/20 is 2/22260

2 720, 406, 918
360, 203, 459

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 720,406,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,406,918 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 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 720,406,918 . The biggest common factor number is the GCF number.
So the greatest common factor 720,406,918 is 2.

Lets's calculate LCM of 84,53,20

2 84, 53, 20
2 42, 53, 10
21, 53, 5

∴ So the LCM of the given numbers is 2 x 2 x 21 x 53 x 5 = 22260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22260

Therefore, the GCF of Fractions 720/84,406/53,918/20 is 2/22260

Least Common Multiple of 84,53,20 with GCF Formula

Least Common Multiple of 84,53,20 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 84,53,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,53,20) = 1

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

GCF(84,53,20) x common factors =1 x 4 = 4

LCM(84,53,20) = ( 84 × 53 × 20 ) / 4

LCM(84,53,20) = 89040 / 4

LCM(84,53,20) = 22260


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 720/84, 406/53, 918/20

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 720/84, 406/53, 918/20?

Answer: GCF of Numerators as per given numbers 720/84, 406/53, 918/20 is

GCF of Numerators i.e. for 720,406,918 is 2

LCM of denominators i.e. for 84,53,20 is 22260.

Thus, GCF of Fractions is 2/22260.Finally, GCF of Fractions for 720/84, 406/53, 918/20 is 2/22260.