Greatest Common Factor of 320/71, 560/20, 216/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/71, 560/20, 216/871

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 320/71,560/20,216/871

Given fractions are 320/71,560/20,216/871

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 320,560,216

Greatest Common Factor of Numerators i.e. GCF of 320,560,216 is 8 .

LCM of Denominators means LCM of 71,20,871 as per the given fractions.

LCM of 71,20,871 is 1236820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,560,216

GCF of Fractions 320/71,560/20,216/871 is 8/1236820

2 320, 560, 216
2 160, 280, 108
2 80, 140, 54
40, 70, 27

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 320,560,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,560,216 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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 320,560,216 . The biggest common factor number is the GCF number.
So the greatest common factor 320,560,216 is 8.

Lets's calculate LCM of 71,20,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 1236820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1236820

Therefore, the GCF of Fractions 320/71,560/20,216/871 is 8/1236820

Least Common Multiple of 71,20,871 with GCF Formula

Least Common Multiple of 71,20,871 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 71,20,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,20,871) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,20,871) x common factors =1 x 1 = 1

LCM(71,20,871) = ( 71 × 20 × 871 ) / 1

LCM(71,20,871) = 1236820 / 1

LCM(71,20,871) = 1236820


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 320/71, 560/20, 216/871

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 320/71, 560/20, 216/871?

Answer: GCF of Numerators as per given numbers 320/71, 560/20, 216/871 is

GCF of Numerators i.e. for 320,560,216 is 8

LCM of denominators i.e. for 71,20,871 is 1236820.

Thus, GCF of Fractions is 8/1236820.Finally, GCF of Fractions for 320/71, 560/20, 216/871 is 8/1236820.