Greatest Common Factor of 2367/369, 5565/7408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2367/369, 5565/7408

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 2367/369,5565/7408

Given fractions are 2367/369,5565/7408

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 2367,5565

Greatest Common Factor of Numerators i.e. GCF of 2367,5565 is 3 .

LCM of Denominators means LCM of 369,7408 as per the given fractions.

LCM of 369,7408 is 2733552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2367,5565

GCF of Fractions 2367/369,5565/7408 is 3/2733552

3 2367, 5565
789, 1855

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2367,5565 By Matching Biggest Common Factor Method

Greatest Common Factor of 2367,5565 By Matching Biggest Common Factor Method

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1,3,9,263,789,2367

Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565

Greatest Common Factor

We found the factors 2367,5565 . The biggest common factor number is the GCF number.
So the greatest common factor 2367,5565 is 3.

Lets's calculate LCM of 369,7408

Given numbers has no common factors except 1. So, there LCM is their product i.e 2733552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2733552

Therefore, the GCF of Fractions 2367/369,5565/7408 is 3/2733552

Least Common Multiple of 369,7408 with GCF Formula

Least Common Multiple of 369,7408 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 369,7408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,7408) = 1

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

GCF(369,7408) x common factors =1 x 1 = 1

LCM(369,7408) = ( 369 × 7408 ) / 1

LCM(369,7408) = 2733552 / 1

LCM(369,7408) = 2733552


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 2367/369, 5565/7408

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 2367/369, 5565/7408?

Answer: GCF of Numerators as per given numbers 2367/369, 5565/7408 is

GCF of Numerators i.e. for 2367,5565 is 3

LCM of denominators i.e. for 369,7408 is 2733552.

Thus, GCF of Fractions is 3/2733552.Finally, GCF of Fractions for 2367/369, 5565/7408 is 3/2733552.