Greatest Common Factor of 3390/39, 6002/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3390/39, 6002/169

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 3390/39,6002/169

Given fractions are 3390/39,6002/169

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 3390,6002

Greatest Common Factor of Numerators i.e. GCF of 3390,6002 is 2 .

LCM of Denominators means LCM of 39,169 as per the given fractions.

LCM of 39,169 is 507 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3390,6002

GCF of Fractions 3390/39,6002/169 is 2/507

2 3390, 6002
1695, 3001

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3390,6002 By Matching Biggest Common Factor Method

Greatest Common Factor of 3390,6002 By Matching Biggest Common Factor Method

Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Factors of 6002

List of positive integer factors of 6002 that divides 6002 without a remainder.

1,2,3001,6002

Greatest Common Factor

We found the factors 3390,6002 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,6002 is 2.

Lets's calculate LCM of 39,169

13 39, 169
3, 13

∴ So the LCM of the given numbers is 13 x 3 x 13 = 507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/507

Therefore, the GCF of Fractions 3390/39,6002/169 is 2/507

Least Common Multiple of 39,169 with GCF Formula

Least Common Multiple of 39,169 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 39,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,169) = 13

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

GCF(39,169) x common factors =13 x 1 = 13

LCM(39,169) = ( 39 × 169 ) / 13

LCM(39,169) = 6591 / 13

LCM(39,169) = 507


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 3390/39, 6002/169

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 3390/39, 6002/169?

Answer: GCF of Numerators as per given numbers 3390/39, 6002/169 is

GCF of Numerators i.e. for 3390,6002 is 2

LCM of denominators i.e. for 39,169 is 507.

Thus, GCF of Fractions is 2/507.Finally, GCF of Fractions for 3390/39, 6002/169 is 2/507.