Greatest Common Factor of 219/12, 868/4343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/12, 868/4343

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 219/12,868/4343

Given fractions are 219/12,868/4343

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 219,868

Greatest Common Factor of Numerators i.e. GCF of 219,868 is 1 .

LCM of Denominators means LCM of 12,4343 as per the given fractions.

LCM of 12,4343 is 52116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,868

GCF of Fractions 219/12,868/4343 is 1/52116

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

Greatest Common Factor of 219,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,868 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 219,868 . The biggest common factor number is the GCF number.
So the greatest common factor 219,868 is 1.

Lets's calculate LCM of 12,4343

Given numbers has no common factors except 1. So, there LCM is their product i.e 52116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52116

Therefore, the GCF of Fractions 219/12,868/4343 is 1/52116

Least Common Multiple of 12,4343 with GCF Formula

Least Common Multiple of 12,4343 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 12,4343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,4343) = 1

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

GCF(12,4343) x common factors =1 x 1 = 1

LCM(12,4343) = ( 12 × 4343 ) / 1

LCM(12,4343) = 52116 / 1

LCM(12,4343) = 52116


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 219/12, 868/4343

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 219/12, 868/4343?

Answer: GCF of Numerators as per given numbers 219/12, 868/4343 is

GCF of Numerators i.e. for 219,868 is 1

LCM of denominators i.e. for 12,4343 is 52116.

Thus, GCF of Fractions is 1/52116.Finally, GCF of Fractions for 219/12, 868/4343 is 1/52116.