Greatest Common Factor of 5313/420, 1803/5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5313/420, 1803/5920

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 5313/420,1803/5920

Given fractions are 5313/420,1803/5920

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 5313,1803

Greatest Common Factor of Numerators i.e. GCF of 5313,1803 is 3 .

LCM of Denominators means LCM of 420,5920 as per the given fractions.

LCM of 420,5920 is 124320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5313,1803

GCF of Fractions 5313/420,1803/5920 is 3/124320

3 5313, 1803
1771, 601

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5313,1803 By Matching Biggest Common Factor Method

Greatest Common Factor of 5313,1803 By Matching Biggest Common Factor Method

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Factors of 1803

List of positive integer factors of 1803 that divides 1803 without a remainder.

1,3,601,1803

Greatest Common Factor

We found the factors 5313,1803 . The biggest common factor number is the GCF number.
So the greatest common factor 5313,1803 is 3.

Lets's calculate LCM of 420,5920

2 420, 5920
2 210, 2960
5 105, 1480
21, 296

∴ So the LCM of the given numbers is 2 x 2 x 5 x 21 x 296 = 124320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/124320

Therefore, the GCF of Fractions 5313/420,1803/5920 is 3/124320

Least Common Multiple of 420,5920 with GCF Formula

Least Common Multiple of 420,5920 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 420,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,5920) = 20

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

GCF(420,5920) x common factors =20 x 1 = 20

LCM(420,5920) = ( 420 × 5920 ) / 20

LCM(420,5920) = 2486400 / 20

LCM(420,5920) = 124320


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5313/420, 1803/5920

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 5313/420, 1803/5920?

Answer: GCF of Numerators as per given numbers 5313/420, 1803/5920 is

GCF of Numerators i.e. for 5313,1803 is 3

LCM of denominators i.e. for 420,5920 is 124320.

Thus, GCF of Fractions is 3/124320.Finally, GCF of Fractions for 5313/420, 1803/5920 is 3/124320.