Greatest Common Factor of 466/32, 220/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/32, 220/209

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 466/32,220/209

Given fractions are 466/32,220/209

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 466,220

Greatest Common Factor of Numerators i.e. GCF of 466,220 is 2 .

LCM of Denominators means LCM of 32,209 as per the given fractions.

LCM of 32,209 is 6688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,220

GCF of Fractions 466/32,220/209 is 2/6688

2 466, 220
233, 110

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 466,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,220 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 466,220 . The biggest common factor number is the GCF number.
So the greatest common factor 466,220 is 2.

Lets's calculate LCM of 32,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 6688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6688

Therefore, the GCF of Fractions 466/32,220/209 is 2/6688

Least Common Multiple of 32,209 with GCF Formula

Least Common Multiple of 32,209 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 32,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,209) = 1

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

GCF(32,209) x common factors =1 x 1 = 1

LCM(32,209) = ( 32 × 209 ) / 1

LCM(32,209) = 6688 / 1

LCM(32,209) = 6688


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 466/32, 220/209

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 466/32, 220/209?

Answer: GCF of Numerators as per given numbers 466/32, 220/209 is

GCF of Numerators i.e. for 466,220 is 2

LCM of denominators i.e. for 32,209 is 6688.

Thus, GCF of Fractions is 2/6688.Finally, GCF of Fractions for 466/32, 220/209 is 2/6688.