Greatest Common Factor of 5574/69, 2327/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5574/69, 2327/109

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 5574/69,2327/109

Given fractions are 5574/69,2327/109

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 5574,2327

Greatest Common Factor of Numerators i.e. GCF of 5574,2327 is 1 .

LCM of Denominators means LCM of 69,109 as per the given fractions.

LCM of 69,109 is 7521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5574,2327

GCF of Fractions 5574/69,2327/109 is 1/7521

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

Greatest Common Factor of 5574,2327 By Matching Biggest Common Factor Method

Greatest Common Factor of 5574,2327 By Matching Biggest Common Factor Method

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1,2,3,6,929,1858,2787,5574

Factors of 2327

List of positive integer factors of 2327 that divides 2327 without a remainder.

1,13,179,2327

Greatest Common Factor

We found the factors 5574,2327 . The biggest common factor number is the GCF number.
So the greatest common factor 5574,2327 is 1.

Lets's calculate LCM of 69,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 7521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7521

Therefore, the GCF of Fractions 5574/69,2327/109 is 1/7521

Least Common Multiple of 69,109 with GCF Formula

Least Common Multiple of 69,109 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 69,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,109) = 1

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

GCF(69,109) x common factors =1 x 1 = 1

LCM(69,109) = ( 69 × 109 ) / 1

LCM(69,109) = 7521 / 1

LCM(69,109) = 7521


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 5574/69, 2327/109

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 5574/69, 2327/109?

Answer: GCF of Numerators as per given numbers 5574/69, 2327/109 is

GCF of Numerators i.e. for 5574,2327 is 1

LCM of denominators i.e. for 69,109 is 7521.

Thus, GCF of Fractions is 1/7521.Finally, GCF of Fractions for 5574/69, 2327/109 is 1/7521.