Greatest Common Factor of 169/780, 3406/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/780, 3406/183

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 169/780,3406/183

Given fractions are 169/780,3406/183

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 169,3406

Greatest Common Factor of Numerators i.e. GCF of 169,3406 is 13 .

LCM of Denominators means LCM of 780,183 as per the given fractions.

LCM of 780,183 is 47580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,3406

GCF of Fractions 169/780,3406/183 is 13/47580

13 169, 3406
13, 262

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

Greatest Common Factor of 169,3406 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,3406 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Greatest Common Factor

We found the factors 169,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 169,3406 is 13.

Lets's calculate LCM of 780,183

3 780, 183
260, 61

∴ So the LCM of the given numbers is 3 x 260 x 61 = 47580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/47580

Therefore, the GCF of Fractions 169/780,3406/183 is 13/47580

Least Common Multiple of 780,183 with GCF Formula

Least Common Multiple of 780,183 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 780,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,183) = 3

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

GCF(780,183) x common factors =3 x 1 = 3

LCM(780,183) = ( 780 × 183 ) / 3

LCM(780,183) = 142740 / 3

LCM(780,183) = 47580


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 169/780, 3406/183

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 169/780, 3406/183?

Answer: GCF of Numerators as per given numbers 169/780, 3406/183 is

GCF of Numerators i.e. for 169,3406 is 13

LCM of denominators i.e. for 780,183 is 47580.

Thus, GCF of Fractions is 13/47580.Finally, GCF of Fractions for 169/780, 3406/183 is 13/47580.