Greatest Common Factor of 9069/227, 1234/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9069/227, 1234/349

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 9069/227,1234/349

Given fractions are 9069/227,1234/349

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 9069,1234

Greatest Common Factor of Numerators i.e. GCF of 9069,1234 is 1 .

LCM of Denominators means LCM of 227,349 as per the given fractions.

LCM of 227,349 is 79223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9069,1234

GCF of Fractions 9069/227,1234/349 is 1/79223

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

Greatest Common Factor of 9069,1234 By Matching Biggest Common Factor Method

Greatest Common Factor of 9069,1234 By Matching Biggest Common Factor Method

Factors of 9069

List of positive integer factors of 9069 that divides 9069 without a remainder.

1,3,3023,9069

Factors of 1234

List of positive integer factors of 1234 that divides 1234 without a remainder.

1,2,617,1234

Greatest Common Factor

We found the factors 9069,1234 . The biggest common factor number is the GCF number.
So the greatest common factor 9069,1234 is 1.

Lets's calculate LCM of 227,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 79223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79223

Therefore, the GCF of Fractions 9069/227,1234/349 is 1/79223

Least Common Multiple of 227,349 with GCF Formula

Least Common Multiple of 227,349 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 227,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,349) = 1

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

GCF(227,349) x common factors =1 x 1 = 1

LCM(227,349) = ( 227 × 349 ) / 1

LCM(227,349) = 79223 / 1

LCM(227,349) = 79223


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 9069/227, 1234/349

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 9069/227, 1234/349?

Answer: GCF of Numerators as per given numbers 9069/227, 1234/349 is

GCF of Numerators i.e. for 9069,1234 is 1

LCM of denominators i.e. for 227,349 is 79223.

Thus, GCF of Fractions is 1/79223.Finally, GCF of Fractions for 9069/227, 1234/349 is 1/79223.