Greatest Common Factor of 320/56, 991/22, 720/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/56, 991/22, 720/474

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 320/56,991/22,720/474

Given fractions are 320/56,991/22,720/474

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 320,991,720

Greatest Common Factor of Numerators i.e. GCF of 320,991,720 is 1 .

LCM of Denominators means LCM of 56,22,474 as per the given fractions.

LCM of 56,22,474 is 145992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,991,720

GCF of Fractions 320/56,991/22,720/474 is 1/145992

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

Greatest Common Factor of 320,991,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,991,720 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

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 320,991,720 . The biggest common factor number is the GCF number.
So the greatest common factor 320,991,720 is 1.

Lets's calculate LCM of 56,22,474

2 56, 22, 474
28, 11, 237

∴ So the LCM of the given numbers is 2 x 28 x 11 x 237 = 145992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145992

Therefore, the GCF of Fractions 320/56,991/22,720/474 is 1/145992

Least Common Multiple of 56,22,474 with GCF Formula

Least Common Multiple of 56,22,474 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 56,22,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,22,474) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(56,22,474) x common factors =2 x 2 = 4

LCM(56,22,474) = ( 56 × 22 × 474 ) / 4

LCM(56,22,474) = 583968 / 4

LCM(56,22,474) = 145992


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 320/56, 991/22, 720/474

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 320/56, 991/22, 720/474?

Answer: GCF of Numerators as per given numbers 320/56, 991/22, 720/474 is

GCF of Numerators i.e. for 320,991,720 is 1

LCM of denominators i.e. for 56,22,474 is 145992.

Thus, GCF of Fractions is 1/145992.Finally, GCF of Fractions for 320/56, 991/22, 720/474 is 1/145992.