Greatest Common Factor of 2405/26, 2479/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2405/26, 2479/361

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 2405/26,2479/361

Given fractions are 2405/26,2479/361

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 2405,2479

Greatest Common Factor of Numerators i.e. GCF of 2405,2479 is 37 .

LCM of Denominators means LCM of 26,361 as per the given fractions.

LCM of 26,361 is 9386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2405,2479

GCF of Fractions 2405/26,2479/361 is 37/9386

37 2405, 2479
65, 67

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 2405,2479 By Matching Biggest Common Factor Method

Greatest Common Factor of 2405,2479 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 2479

List of positive integer factors of 2479 that divides 2479 without a remainder.

1,37,67,2479

Greatest Common Factor

We found the factors 2405,2479 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,2479 is 37.

Lets's calculate LCM of 26,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 9386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/9386

Therefore, the GCF of Fractions 2405/26,2479/361 is 37/9386

Least Common Multiple of 26,361 with GCF Formula

Least Common Multiple of 26,361 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 26,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,361) = 1

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

GCF(26,361) x common factors =1 x 1 = 1

LCM(26,361) = ( 26 × 361 ) / 1

LCM(26,361) = 9386 / 1

LCM(26,361) = 9386


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 2405/26, 2479/361

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 2405/26, 2479/361?

Answer: GCF of Numerators as per given numbers 2405/26, 2479/361 is

GCF of Numerators i.e. for 2405,2479 is 37

LCM of denominators i.e. for 26,361 is 9386.

Thus, GCF of Fractions is 37/9386.Finally, GCF of Fractions for 2405/26, 2479/361 is 37/9386.