Greatest Common Factor of 4069/226, 3159/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4069/226, 3159/675

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 4069/226,3159/675

Given fractions are 4069/226,3159/675

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 4069,3159

Greatest Common Factor of Numerators i.e. GCF of 4069,3159 is 13 .

LCM of Denominators means LCM of 226,675 as per the given fractions.

LCM of 226,675 is 152550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4069,3159

GCF of Fractions 4069/226,3159/675 is 13/152550

13 4069, 3159
313, 243

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4069,3159 By Matching Biggest Common Factor Method

Greatest Common Factor of 4069,3159 By Matching Biggest Common Factor Method

Factors of 4069

List of positive integer factors of 4069 that divides 4069 without a remainder.

1,13,313,4069

Factors of 3159

List of positive integer factors of 3159 that divides 3159 without a remainder.

1,3,9,13,27,39,81,117,243,351,1053,3159

Greatest Common Factor

We found the factors 4069,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,3159 is 13.


Lets's calculate LCM of 226,675

Given numbers has no common factors except 1. So, there LCM is their product i.e 152550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/152550

Therefore, the GCF of Fractions 4069/226,3159/675 is 13/152550

Least Common Multiple of 226,675 with GCF Formula

Least Common Multiple of 226,675 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 226,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,675) = 1

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

GCF(226,675) x common factors =1 x 1 = 1

LCM(226,675) = ( 226 × 675 ) / 1

LCM(226,675) = 152550 / 1

LCM(226,675) = 152550


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4069/226, 3159/675

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 4069/226, 3159/675?

Answer: GCF of Numerators as per given numbers 4069/226, 3159/675 is

GCF of Numerators i.e. for 4069,3159 is 13

LCM of denominators i.e. for 226,675 is 152550.

Thus, GCF of Fractions is 13/152550.Finally, GCF of Fractions for 4069/226, 3159/675 is 13/152550.