Greatest Common Factor of 5684/378, 1484/5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5684/378, 1484/5014

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 5684/378,1484/5014

Given fractions are 5684/378,1484/5014

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 5684,1484

Greatest Common Factor of Numerators i.e. GCF of 5684,1484 is 28 .

LCM of Denominators means LCM of 378,5014 as per the given fractions.

LCM of 378,5014 is 947646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5684,1484

GCF of Fractions 5684/378,1484/5014 is 28/947646

2 5684, 1484
2 2842, 742
7 1421, 371
203, 53

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 5684,1484 By Matching Biggest Common Factor Method

Greatest Common Factor of 5684,1484 By Matching Biggest Common Factor Method

Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Greatest Common Factor

We found the factors 5684,1484 . The biggest common factor number is the GCF number.
So the greatest common factor 5684,1484 is 28.

Lets's calculate LCM of 378,5014

2 378, 5014
189, 2507

∴ So the LCM of the given numbers is 2 x 189 x 2507 = 947646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/947646

Therefore, the GCF of Fractions 5684/378,1484/5014 is 28/947646

Least Common Multiple of 378,5014 with GCF Formula

Least Common Multiple of 378,5014 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 378,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,5014) = 2

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

GCF(378,5014) x common factors =2 x 1 = 2

LCM(378,5014) = ( 378 × 5014 ) / 2

LCM(378,5014) = 1895292 / 2

LCM(378,5014) = 947646


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 5684/378, 1484/5014

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 5684/378, 1484/5014?

Answer: GCF of Numerators as per given numbers 5684/378, 1484/5014 is

GCF of Numerators i.e. for 5684,1484 is 28

LCM of denominators i.e. for 378,5014 is 947646.

Thus, GCF of Fractions is 28/947646.Finally, GCF of Fractions for 5684/378, 1484/5014 is 28/947646.