Greatest Common Factor of 7476/460, 5784/4023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7476/460, 5784/4023

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 7476/460,5784/4023

Given fractions are 7476/460,5784/4023

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 7476,5784

Greatest Common Factor of Numerators i.e. GCF of 7476,5784 is 12 .

LCM of Denominators means LCM of 460,4023 as per the given fractions.

LCM of 460,4023 is 1850580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7476,5784

GCF of Fractions 7476/460,5784/4023 is 12/1850580

2 7476, 5784
2 3738, 2892
3 1869, 1446
623, 482

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

Greatest Common Factor of 7476,5784 By Matching Biggest Common Factor Method

Greatest Common Factor of 7476,5784 By Matching Biggest Common Factor Method

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

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

Greatest Common Factor

We found the factors 7476,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 7476,5784 is 12.

Lets's calculate LCM of 460,4023

Given numbers has no common factors except 1. So, there LCM is their product i.e 1850580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1850580

Therefore, the GCF of Fractions 7476/460,5784/4023 is 12/1850580

Least Common Multiple of 460,4023 with GCF Formula

Least Common Multiple of 460,4023 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 460,4023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,4023) = 1

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

GCF(460,4023) x common factors =1 x 1 = 1

LCM(460,4023) = ( 460 × 4023 ) / 1

LCM(460,4023) = 1850580 / 1

LCM(460,4023) = 1850580


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 7476/460, 5784/4023

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 7476/460, 5784/4023?

Answer: GCF of Numerators as per given numbers 7476/460, 5784/4023 is

GCF of Numerators i.e. for 7476,5784 is 12

LCM of denominators i.e. for 460,4023 is 1850580.

Thus, GCF of Fractions is 12/1850580.Finally, GCF of Fractions for 7476/460, 5784/4023 is 12/1850580.