Greatest Common Factor of 2304/465, 5614/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2304/465, 5614/345

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 2304/465,5614/345

Given fractions are 2304/465,5614/345

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 2304,5614

Greatest Common Factor of Numerators i.e. GCF of 2304,5614 is 2 .

LCM of Denominators means LCM of 465,345 as per the given fractions.

LCM of 465,345 is 10695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2304,5614

GCF of Fractions 2304/465,5614/345 is 2/10695

2 2304, 5614
1152, 2807

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

Greatest Common Factor of 2304,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 2304,5614 By Matching Biggest Common Factor Method

Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 2304,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 2304,5614 is 2.

Lets's calculate LCM of 465,345

3 465, 345
5 155, 115
31, 23

∴ So the LCM of the given numbers is 3 x 5 x 31 x 23 = 10695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10695

Therefore, the GCF of Fractions 2304/465,5614/345 is 2/10695

Least Common Multiple of 465,345 with GCF Formula

Least Common Multiple of 465,345 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 465,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,345) = 15

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

GCF(465,345) x common factors =15 x 1 = 15

LCM(465,345) = ( 465 × 345 ) / 15

LCM(465,345) = 160425 / 15

LCM(465,345) = 10695


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 2304/465, 5614/345

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 2304/465, 5614/345?

Answer: GCF of Numerators as per given numbers 2304/465, 5614/345 is

GCF of Numerators i.e. for 2304,5614 is 2

LCM of denominators i.e. for 465,345 is 10695.

Thus, GCF of Fractions is 2/10695.Finally, GCF of Fractions for 2304/465, 5614/345 is 2/10695.