Greatest Common Factor of 221/461, 646/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/461, 646/386

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 221/461,646/386

Given fractions are 221/461,646/386

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 221,646

Greatest Common Factor of Numerators i.e. GCF of 221,646 is 17 .

LCM of Denominators means LCM of 461,386 as per the given fractions.

LCM of 461,386 is 177946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,646

GCF of Fractions 221/461,646/386 is 17/177946

17 221, 646
13, 38

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 221,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,646 By Matching Biggest Common Factor Method

Factors of 221

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

1,13,17,221

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 221,646 . The biggest common factor number is the GCF number.
So the greatest common factor 221,646 is 17.

Lets's calculate LCM of 461,386

Given numbers has no common factors except 1. So, there LCM is their product i.e 177946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/177946

Therefore, the GCF of Fractions 221/461,646/386 is 17/177946

Least Common Multiple of 461,386 with GCF Formula

Least Common Multiple of 461,386 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 461,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,386) = 1

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

GCF(461,386) x common factors =1 x 1 = 1

LCM(461,386) = ( 461 × 386 ) / 1

LCM(461,386) = 177946 / 1

LCM(461,386) = 177946


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 221/461, 646/386

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 221/461, 646/386?

Answer: GCF of Numerators as per given numbers 221/461, 646/386 is

GCF of Numerators i.e. for 221,646 is 17

LCM of denominators i.e. for 461,386 is 177946.

Thus, GCF of Fractions is 17/177946.Finally, GCF of Fractions for 221/461, 646/386 is 17/177946.