Greatest Common Factor of 1089/136, 9883/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1089/136, 9883/225

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 1089/136,9883/225

Given fractions are 1089/136,9883/225

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 1089,9883

Greatest Common Factor of Numerators i.e. GCF of 1089,9883 is 1 .

LCM of Denominators means LCM of 136,225 as per the given fractions.

LCM of 136,225 is 30600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1089,9883

GCF of Fractions 1089/136,9883/225 is 1/30600

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

Greatest Common Factor of 1089,9883 By Matching Biggest Common Factor Method

Greatest Common Factor of 1089,9883 By Matching Biggest Common Factor Method

Factors of 1089

List of positive integer factors of 1089 that divides 1089 without a remainder.

1,3,9,11,33,99,121,363,1089

Factors of 9883

List of positive integer factors of 9883 that divides 9883 without a remainder.

1,9883

Greatest Common Factor

We found the factors 1089,9883 . The biggest common factor number is the GCF number.
So the greatest common factor 1089,9883 is 1.

Lets's calculate LCM of 136,225

Given numbers has no common factors except 1. So, there LCM is their product i.e 30600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30600

Therefore, the GCF of Fractions 1089/136,9883/225 is 1/30600

Least Common Multiple of 136,225 with GCF Formula

Least Common Multiple of 136,225 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 136,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,225) = 1

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

GCF(136,225) x common factors =1 x 1 = 1

LCM(136,225) = ( 136 × 225 ) / 1

LCM(136,225) = 30600 / 1

LCM(136,225) = 30600


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 1089/136, 9883/225

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 1089/136, 9883/225?

Answer: GCF of Numerators as per given numbers 1089/136, 9883/225 is

GCF of Numerators i.e. for 1089,9883 is 1

LCM of denominators i.e. for 136,225 is 30600.

Thus, GCF of Fractions is 1/30600.Finally, GCF of Fractions for 1089/136, 9883/225 is 1/30600.