Greatest Common Factor of 5604/716, 1584/4608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5604/716, 1584/4608

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 5604/716,1584/4608

Given fractions are 5604/716,1584/4608

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 5604,1584

Greatest Common Factor of Numerators i.e. GCF of 5604,1584 is 12 .

LCM of Denominators means LCM of 716,4608 as per the given fractions.

LCM of 716,4608 is 824832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5604,1584

GCF of Fractions 5604/716,1584/4608 is 12/824832

2 5604, 1584
2 2802, 792
3 1401, 396
467, 132

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5604,1584 By Matching Biggest Common Factor Method

Greatest Common Factor of 5604,1584 By Matching Biggest Common Factor Method

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1,2,3,4,6,12,467,934,1401,1868,2802,5604

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584

Greatest Common Factor

We found the factors 5604,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 5604,1584 is 12.

Lets's calculate LCM of 716,4608

2 716, 4608
2 358, 2304
179, 1152

∴ So the LCM of the given numbers is 2 x 2 x 179 x 1152 = 824832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/824832

Therefore, the GCF of Fractions 5604/716,1584/4608 is 12/824832

Least Common Multiple of 716,4608 with GCF Formula

Least Common Multiple of 716,4608 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 716,4608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,4608) = 4

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

GCF(716,4608) x common factors =4 x 1 = 4

LCM(716,4608) = ( 716 × 4608 ) / 4

LCM(716,4608) = 3299328 / 4

LCM(716,4608) = 824832


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 5604/716, 1584/4608

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 5604/716, 1584/4608?

Answer: GCF of Numerators as per given numbers 5604/716, 1584/4608 is

GCF of Numerators i.e. for 5604,1584 is 12

LCM of denominators i.e. for 716,4608 is 824832.

Thus, GCF of Fractions is 12/824832.Finally, GCF of Fractions for 5604/716, 1584/4608 is 12/824832.