Greatest Common Factor of 16/17, 108/75, 320/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/17, 108/75, 320/810

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 16/17,108/75,320/810

Given fractions are 16/17,108/75,320/810

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 16,108,320

Greatest Common Factor of Numerators i.e. GCF of 16,108,320 is 4 .

LCM of Denominators means LCM of 17,75,810 as per the given fractions.

LCM of 17,75,810 is 68850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,108,320

GCF of Fractions 16/17,108/75,320/810 is 4/68850

2 16, 108, 320
2 8, 54, 160
4, 27, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 16,108,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,108,320 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

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

Greatest Common Factor

We found the factors 16,108,320 . The biggest common factor number is the GCF number.
So the greatest common factor 16,108,320 is 4.

Lets's calculate LCM of 17,75,810

3 17, 75, 810
5 17, 25, 270
17, 5, 54

∴ So the LCM of the given numbers is 3 x 5 x 17 x 5 x 54 = 68850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/68850

Therefore, the GCF of Fractions 16/17,108/75,320/810 is 4/68850

Least Common Multiple of 17,75,810 with GCF Formula

Least Common Multiple of 17,75,810 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 17,75,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,75,810) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(17,75,810) x common factors =1 x 15 = 15

LCM(17,75,810) = ( 17 × 75 × 810 ) / 15

LCM(17,75,810) = 1032750 / 15

LCM(17,75,810) = 68850


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 16/17, 108/75, 320/810

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 16/17, 108/75, 320/810?

Answer: GCF of Numerators as per given numbers 16/17, 108/75, 320/810 is

GCF of Numerators i.e. for 16,108,320 is 4

LCM of denominators i.e. for 17,75,810 is 68850.

Thus, GCF of Fractions is 4/68850.Finally, GCF of Fractions for 16/17, 108/75, 320/810 is 4/68850.