Greatest Common Factor of 609/90, 374/33, 221/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/90, 374/33, 221/105

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 609/90,374/33,221/105

Given fractions are 609/90,374/33,221/105

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 609,374,221

Greatest Common Factor of Numerators i.e. GCF of 609,374,221 is 1 .

LCM of Denominators means LCM of 90,33,105 as per the given fractions.

LCM of 90,33,105 is 6930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,374,221

GCF of Fractions 609/90,374/33,221/105 is 1/6930

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

Greatest Common Factor of 609,374,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,374,221 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 609,374,221 . The biggest common factor number is the GCF number.
So the greatest common factor 609,374,221 is 1.

Lets's calculate LCM of 90,33,105

3 90, 33, 105
5 30, 11, 35
6, 11, 7

∴ So the LCM of the given numbers is 3 x 5 x 6 x 11 x 7 = 6930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930

Therefore, the GCF of Fractions 609/90,374/33,221/105 is 1/6930

Least Common Multiple of 90,33,105 with GCF Formula

Least Common Multiple of 90,33,105 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 90,33,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,33,105) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(90,33,105) x common factors =3 x 15 = 45

LCM(90,33,105) = ( 90 × 33 × 105 ) / 45

LCM(90,33,105) = 311850 / 45

LCM(90,33,105) = 6930


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 609/90, 374/33, 221/105

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 609/90, 374/33, 221/105?

Answer: GCF of Numerators as per given numbers 609/90, 374/33, 221/105 is

GCF of Numerators i.e. for 609,374,221 is 1

LCM of denominators i.e. for 90,33,105 is 6930.

Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 609/90, 374/33, 221/105 is 1/6930.