Greatest Common Factor of 4755/16, 5684/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4755/16, 5684/321

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 4755/16,5684/321

Given fractions are 4755/16,5684/321

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 4755,5684

Greatest Common Factor of Numerators i.e. GCF of 4755,5684 is 1 .

LCM of Denominators means LCM of 16,321 as per the given fractions.

LCM of 16,321 is 5136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4755,5684

GCF of Fractions 4755/16,5684/321 is 1/5136

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4755,5684 By Matching Biggest Common Factor Method

Greatest Common Factor of 4755,5684 By Matching Biggest Common Factor Method

Factors of 4755

List of positive integer factors of 4755 that divides 4755 without a remainder.

1,3,5,15,317,951,1585,4755

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

Greatest Common Factor

We found the factors 4755,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 4755,5684 is 1.

Lets's calculate LCM of 16,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 5136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5136

Therefore, the GCF of Fractions 4755/16,5684/321 is 1/5136

Least Common Multiple of 16,321 with GCF Formula

Least Common Multiple of 16,321 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 16,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,321) = 1

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

GCF(16,321) x common factors =1 x 1 = 1

LCM(16,321) = ( 16 × 321 ) / 1

LCM(16,321) = 5136 / 1

LCM(16,321) = 5136


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 4755/16, 5684/321

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 4755/16, 5684/321?

Answer: GCF of Numerators as per given numbers 4755/16, 5684/321 is

GCF of Numerators i.e. for 4755,5684 is 1

LCM of denominators i.e. for 16,321 is 5136.

Thus, GCF of Fractions is 1/5136.Finally, GCF of Fractions for 4755/16, 5684/321 is 1/5136.