Greatest Common Factor of 400/15, 480/74, 720/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/15, 480/74, 720/54

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 400/15,480/74,720/54

Given fractions are 400/15,480/74,720/54

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 400,480,720

Greatest Common Factor of Numerators i.e. GCF of 400,480,720 is 80 .

LCM of Denominators means LCM of 15,74,54 as per the given fractions.

LCM of 15,74,54 is 9990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,480,720

GCF of Fractions 400/15,480/74,720/54 is 80/9990

2 400, 480, 720
2 200, 240, 360
2 100, 120, 180
2 50, 60, 90
5 25, 30, 45
5, 6, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80

Greatest Common Factor of 400,480,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,480,720 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

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 400,480,720 . The biggest common factor number is the GCF number.
So the greatest common factor 400,480,720 is 80.

Lets's calculate LCM of 15,74,54

2 15, 74, 54
3 15, 37, 27
5, 37, 9

∴ So the LCM of the given numbers is 2 x 3 x 5 x 37 x 9 = 9990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/9990

Therefore, the GCF of Fractions 400/15,480/74,720/54 is 80/9990

Least Common Multiple of 15,74,54 with GCF Formula

Least Common Multiple of 15,74,54 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 15,74,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,74,54) = 1

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

GCF(15,74,54) x common factors =1 x 6 = 6

LCM(15,74,54) = ( 15 × 74 × 54 ) / 6

LCM(15,74,54) = 59940 / 6

LCM(15,74,54) = 9990


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 400/15, 480/74, 720/54

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 400/15, 480/74, 720/54?

Answer: GCF of Numerators as per given numbers 400/15, 480/74, 720/54 is

GCF of Numerators i.e. for 400,480,720 is 80

LCM of denominators i.e. for 15,74,54 is 9990.

Thus, GCF of Fractions is 80/9990.Finally, GCF of Fractions for 400/15, 480/74, 720/54 is 80/9990.