Greatest Common Factor of 4663/848, 3219/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4663/848, 3219/212

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 4663/848,3219/212

Given fractions are 4663/848,3219/212

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 4663,3219

Greatest Common Factor of Numerators i.e. GCF of 4663,3219 is 1 .

LCM of Denominators means LCM of 848,212 as per the given fractions.

LCM of 848,212 is 848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4663,3219

GCF of Fractions 4663/848,3219/212 is 1/848

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

Greatest Common Factor of 4663,3219 By Matching Biggest Common Factor Method

Greatest Common Factor of 4663,3219 By Matching Biggest Common Factor Method

Factors of 4663

List of positive integer factors of 4663 that divides 4663 without a remainder.

1,4663

Factors of 3219

List of positive integer factors of 3219 that divides 3219 without a remainder.

1,3,29,37,87,111,1073,3219

Greatest Common Factor

We found the factors 4663,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 4663,3219 is 1.

Lets's calculate LCM of 848,212

2 848, 212
2 424, 106
53 212, 53
4, 1

∴ So the LCM of the given numbers is 2 x 2 x 53 x 4 x 1 = 848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/848

Therefore, the GCF of Fractions 4663/848,3219/212 is 1/848

Least Common Multiple of 848,212 with GCF Formula

Least Common Multiple of 848,212 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 848,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,212) = 212

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

GCF(848,212) x common factors =212 x 1 = 212

LCM(848,212) = ( 848 × 212 ) / 212

LCM(848,212) = 179776 / 212

LCM(848,212) = 848


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 4663/848, 3219/212

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 4663/848, 3219/212?

Answer: GCF of Numerators as per given numbers 4663/848, 3219/212 is

GCF of Numerators i.e. for 4663,3219 is 1

LCM of denominators i.e. for 848,212 is 848.

Thus, GCF of Fractions is 1/848.Finally, GCF of Fractions for 4663/848, 3219/212 is 1/848.