Greatest Common Factor of 4268/169, 3366/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4268/169, 3366/426

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 4268/169,3366/426

Given fractions are 4268/169,3366/426

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 4268,3366

Greatest Common Factor of Numerators i.e. GCF of 4268,3366 is 22 .

LCM of Denominators means LCM of 169,426 as per the given fractions.

LCM of 169,426 is 71994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4268,3366

GCF of Fractions 4268/169,3366/426 is 22/71994

2 4268, 3366
11 2134, 1683
194, 153

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 4268,3366 By Matching Biggest Common Factor Method

Greatest Common Factor of 4268,3366 By Matching Biggest Common Factor Method

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Greatest Common Factor

We found the factors 4268,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 4268,3366 is 22.

Lets's calculate LCM of 169,426

Given numbers has no common factors except 1. So, there LCM is their product i.e 71994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/71994

Therefore, the GCF of Fractions 4268/169,3366/426 is 22/71994

Least Common Multiple of 169,426 with GCF Formula

Least Common Multiple of 169,426 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 169,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,426) = 1

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

GCF(169,426) x common factors =1 x 1 = 1

LCM(169,426) = ( 169 × 426 ) / 1

LCM(169,426) = 71994 / 1

LCM(169,426) = 71994


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 4268/169, 3366/426

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 4268/169, 3366/426?

Answer: GCF of Numerators as per given numbers 4268/169, 3366/426 is

GCF of Numerators i.e. for 4268,3366 is 22

LCM of denominators i.e. for 169,426 is 71994.

Thus, GCF of Fractions is 22/71994.Finally, GCF of Fractions for 4268/169, 3366/426 is 22/71994.