Greatest Common Factor of 2405/713, 3406/3213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2405/713, 3406/3213

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 2405/713,3406/3213

Given fractions are 2405/713,3406/3213

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 2405,3406

Greatest Common Factor of Numerators i.e. GCF of 2405,3406 is 13 .

LCM of Denominators means LCM of 713,3213 as per the given fractions.

LCM of 713,3213 is 2290869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2405,3406

GCF of Fractions 2405/713,3406/3213 is 13/2290869

13 2405, 3406
185, 262

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

Greatest Common Factor of 2405,3406 By Matching Biggest Common Factor Method

Greatest Common Factor of 2405,3406 By Matching Biggest Common Factor Method

Factors of 2405

List of positive integer factors of 2405 that divides 2405 without a remainder.

1,5,13,37,65,185,481,2405

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 2405,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,3406 is 13.

Lets's calculate LCM of 713,3213

Given numbers has no common factors except 1. So, there LCM is their product i.e 2290869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2290869

Therefore, the GCF of Fractions 2405/713,3406/3213 is 13/2290869

Least Common Multiple of 713,3213 with GCF Formula

Least Common Multiple of 713,3213 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 713,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,3213) = 1

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

GCF(713,3213) x common factors =1 x 1 = 1

LCM(713,3213) = ( 713 × 3213 ) / 1

LCM(713,3213) = 2290869 / 1

LCM(713,3213) = 2290869


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 2405/713, 3406/3213

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 2405/713, 3406/3213?

Answer: GCF of Numerators as per given numbers 2405/713, 3406/3213 is

GCF of Numerators i.e. for 2405,3406 is 13

LCM of denominators i.e. for 713,3213 is 2290869.

Thus, GCF of Fractions is 13/2290869.Finally, GCF of Fractions for 2405/713, 3406/3213 is 13/2290869.