Greatest Common Factor of 216/31, 109/89, 300/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/31, 109/89, 300/675

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 216/31,109/89,300/675

Given fractions are 216/31,109/89,300/675

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 216,109,300

Greatest Common Factor of Numerators i.e. GCF of 216,109,300 is 1 .

LCM of Denominators means LCM of 31,89,675 as per the given fractions.

LCM of 31,89,675 is 1862325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,109,300

GCF of Fractions 216/31,109/89,300/675 is 1/1862325

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

Greatest Common Factor of 216,109,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,109,300 By Matching Biggest Common Factor Method

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

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 216,109,300 . The biggest common factor number is the GCF number.
So the greatest common factor 216,109,300 is 1.

Lets's calculate LCM of 31,89,675

Given numbers has no common factors except 1. So, there LCM is their product i.e 1862325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1862325

Therefore, the GCF of Fractions 216/31,109/89,300/675 is 1/1862325

Least Common Multiple of 31,89,675 with GCF Formula

Least Common Multiple of 31,89,675 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 31,89,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,89,675) = 1

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

GCF(31,89,675) x common factors =1 x 1 = 1

LCM(31,89,675) = ( 31 × 89 × 675 ) / 1

LCM(31,89,675) = 1862325 / 1

LCM(31,89,675) = 1862325


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 216/31, 109/89, 300/675

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 216/31, 109/89, 300/675?

Answer: GCF of Numerators as per given numbers 216/31, 109/89, 300/675 is

GCF of Numerators i.e. for 216,109,300 is 1

LCM of denominators i.e. for 31,89,675 is 1862325.

Thus, GCF of Fractions is 1/1862325.Finally, GCF of Fractions for 216/31, 109/89, 300/675 is 1/1862325.