Greatest Common Factor of 219/105, 1658/6612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/105, 1658/6612

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 219/105,1658/6612

Given fractions are 219/105,1658/6612

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 219,1658

Greatest Common Factor of Numerators i.e. GCF of 219,1658 is 1 .

LCM of Denominators means LCM of 105,6612 as per the given fractions.

LCM of 105,6612 is 231420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,1658

GCF of Fractions 219/105,1658/6612 is 1/231420

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

Greatest Common Factor of 219,1658 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,1658 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 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1,2,829,1658

Greatest Common Factor

We found the factors 219,1658 . The biggest common factor number is the GCF number.
So the greatest common factor 219,1658 is 1.

Lets's calculate LCM of 105,6612

3 105, 6612
35, 2204

∴ So the LCM of the given numbers is 3 x 35 x 2204 = 231420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231420

Therefore, the GCF of Fractions 219/105,1658/6612 is 1/231420

Least Common Multiple of 105,6612 with GCF Formula

Least Common Multiple of 105,6612 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 105,6612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,6612) = 3

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

GCF(105,6612) x common factors =3 x 1 = 3

LCM(105,6612) = ( 105 × 6612 ) / 3

LCM(105,6612) = 694260 / 3

LCM(105,6612) = 231420


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 219/105, 1658/6612

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 219/105, 1658/6612?

Answer: GCF of Numerators as per given numbers 219/105, 1658/6612 is

GCF of Numerators i.e. for 219,1658 is 1

LCM of denominators i.e. for 105,6612 is 231420.

Thus, GCF of Fractions is 1/231420.Finally, GCF of Fractions for 219/105, 1658/6612 is 1/231420.