Greatest Common Factor of 219/64, 3406/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/64, 3406/212

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 219/64,3406/212

Given fractions are 219/64,3406/212

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 219,3406

Greatest Common Factor of Numerators i.e. GCF of 219,3406 is 1 .

LCM of Denominators means LCM of 64,212 as per the given fractions.

LCM of 64,212 is 3392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,3406

GCF of Fractions 219/64,3406/212 is 1/3392

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

Greatest Common Factor of 219,3406 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,3406 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 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Greatest Common Factor

We found the factors 219,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 219,3406 is 1.

Lets's calculate LCM of 64,212

2 64, 212
2 32, 106
16, 53

∴ So the LCM of the given numbers is 2 x 2 x 16 x 53 = 3392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3392

Therefore, the GCF of Fractions 219/64,3406/212 is 1/3392

Least Common Multiple of 64,212 with GCF Formula

Least Common Multiple of 64,212 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 64,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,212) = 4

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

GCF(64,212) x common factors =4 x 1 = 4

LCM(64,212) = ( 64 × 212 ) / 4

LCM(64,212) = 13568 / 4

LCM(64,212) = 3392


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 219/64, 3406/212

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 219/64, 3406/212?

Answer: GCF of Numerators as per given numbers 219/64, 3406/212 is

GCF of Numerators i.e. for 219,3406 is 1

LCM of denominators i.e. for 64,212 is 3392.

Thus, GCF of Fractions is 1/3392.Finally, GCF of Fractions for 219/64, 3406/212 is 1/3392.