Greatest Common Factor of 233/107, 8109/5692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/107, 8109/5692

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 233/107,8109/5692

Given fractions are 233/107,8109/5692

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 233,8109

Greatest Common Factor of Numerators i.e. GCF of 233,8109 is 1 .

LCM of Denominators means LCM of 107,5692 as per the given fractions.

LCM of 107,5692 is 609044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,8109

GCF of Fractions 233/107,8109/5692 is 1/609044

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

Greatest Common Factor of 233,8109 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,8109 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1,3,9,17,51,53,153,159,477,901,2703,8109

Greatest Common Factor

We found the factors 233,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 233,8109 is 1.

Lets's calculate LCM of 107,5692

Given numbers has no common factors except 1. So, there LCM is their product i.e 609044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609044

Therefore, the GCF of Fractions 233/107,8109/5692 is 1/609044

Least Common Multiple of 107,5692 with GCF Formula

Least Common Multiple of 107,5692 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 107,5692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,5692) = 1

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

GCF(107,5692) x common factors =1 x 1 = 1

LCM(107,5692) = ( 107 × 5692 ) / 1

LCM(107,5692) = 609044 / 1

LCM(107,5692) = 609044


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 233/107, 8109/5692

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 233/107, 8109/5692?

Answer: GCF of Numerators as per given numbers 233/107, 8109/5692 is

GCF of Numerators i.e. for 233,8109 is 1

LCM of denominators i.e. for 107,5692 is 609044.

Thus, GCF of Fractions is 1/609044.Finally, GCF of Fractions for 233/107, 8109/5692 is 1/609044.