Greatest Common Factor of 5784/45, 5736/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5784/45, 5736/418

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 5784/45,5736/418

Given fractions are 5784/45,5736/418

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 5784,5736

Greatest Common Factor of Numerators i.e. GCF of 5784,5736 is 24 .

LCM of Denominators means LCM of 45,418 as per the given fractions.

LCM of 45,418 is 18810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5784,5736

GCF of Fractions 5784/45,5736/418 is 24/18810

2 5784, 5736
2 2892, 2868
2 1446, 1434
3 723, 717
241, 239

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 5784,5736 By Matching Biggest Common Factor Method

Greatest Common Factor of 5784,5736 By Matching Biggest Common Factor Method

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 5784,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 5784,5736 is 24.

Lets's calculate LCM of 45,418

Given numbers has no common factors except 1. So, there LCM is their product i.e 18810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/18810

Therefore, the GCF of Fractions 5784/45,5736/418 is 24/18810

Least Common Multiple of 45,418 with GCF Formula

Least Common Multiple of 45,418 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 45,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,418) = 1

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

GCF(45,418) x common factors =1 x 1 = 1

LCM(45,418) = ( 45 × 418 ) / 1

LCM(45,418) = 18810 / 1

LCM(45,418) = 18810


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 5784/45, 5736/418

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 5784/45, 5736/418?

Answer: GCF of Numerators as per given numbers 5784/45, 5736/418 is

GCF of Numerators i.e. for 5784,5736 is 24

LCM of denominators i.e. for 45,418 is 18810.

Thus, GCF of Fractions is 24/18810.Finally, GCF of Fractions for 5784/45, 5736/418 is 24/18810.