Greatest Common Factor of 3355/609, 4944/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3355/609, 4944/301

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 3355/609,4944/301

Given fractions are 3355/609,4944/301

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 3355,4944

Greatest Common Factor of Numerators i.e. GCF of 3355,4944 is 1 .

LCM of Denominators means LCM of 609,301 as per the given fractions.

LCM of 609,301 is 26187 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3355,4944

GCF of Fractions 3355/609,4944/301 is 1/26187

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

Greatest Common Factor of 3355,4944 By Matching Biggest Common Factor Method

Greatest Common Factor of 3355,4944 By Matching Biggest Common Factor Method

Factors of 3355

List of positive integer factors of 3355 that divides 3355 without a remainder.

1,5,11,55,61,305,671,3355

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Greatest Common Factor

We found the factors 3355,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 3355,4944 is 1.

Lets's calculate LCM of 609,301

7 609, 301
87, 43

∴ So the LCM of the given numbers is 7 x 87 x 43 = 26187

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26187

Therefore, the GCF of Fractions 3355/609,4944/301 is 1/26187

Least Common Multiple of 609,301 with GCF Formula

Least Common Multiple of 609,301 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 609,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,301) = 7

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

GCF(609,301) x common factors =7 x 1 = 7

LCM(609,301) = ( 609 × 301 ) / 7

LCM(609,301) = 183309 / 7

LCM(609,301) = 26187


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 3355/609, 4944/301

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 3355/609, 4944/301?

Answer: GCF of Numerators as per given numbers 3355/609, 4944/301 is

GCF of Numerators i.e. for 3355,4944 is 1

LCM of denominators i.e. for 609,301 is 26187.

Thus, GCF of Fractions is 1/26187.Finally, GCF of Fractions for 3355/609, 4944/301 is 1/26187.