Greatest Common Factor of 5604/766, 5728/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5604/766, 5728/324

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 5604/766,5728/324

Given fractions are 5604/766,5728/324

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 5604,5728

Greatest Common Factor of Numerators i.e. GCF of 5604,5728 is 4 .

LCM of Denominators means LCM of 766,324 as per the given fractions.

LCM of 766,324 is 124092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5604,5728

GCF of Fractions 5604/766,5728/324 is 4/124092

2 5604, 5728
2 2802, 2864
1401, 1432

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5604,5728 By Matching Biggest Common Factor Method

Greatest Common Factor of 5604,5728 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 5728

List of positive integer factors of 5728 that divides 5728 without a remainder.

1,2,4,8,16,32,179,358,716,1432,2864,5728

Greatest Common Factor

We found the factors 5604,5728 . The biggest common factor number is the GCF number.
So the greatest common factor 5604,5728 is 4.

Lets's calculate LCM of 766,324

2 766, 324
383, 162

∴ So the LCM of the given numbers is 2 x 383 x 162 = 124092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/124092

Therefore, the GCF of Fractions 5604/766,5728/324 is 4/124092

Least Common Multiple of 766,324 with GCF Formula

Least Common Multiple of 766,324 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 766,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,324) = 2

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

GCF(766,324) x common factors =2 x 1 = 2

LCM(766,324) = ( 766 × 324 ) / 2

LCM(766,324) = 248184 / 2

LCM(766,324) = 124092


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 5604/766, 5728/324

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 5604/766, 5728/324?

Answer: GCF of Numerators as per given numbers 5604/766, 5728/324 is

GCF of Numerators i.e. for 5604,5728 is 4

LCM of denominators i.e. for 766,324 is 124092.

Thus, GCF of Fractions is 4/124092.Finally, GCF of Fractions for 5604/766, 5728/324 is 4/124092.