GCD of 420, 100, 466 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 420, 100, 466 i.e. 2 largest integer that divides all the numbers equally.

GCD of 420, 100, 466 is 2

GCD(420, 100, 466) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 420, 100, 466 is 2

GCD(420, 100, 466) = 2

GCD of 420,100,466 Calculator

GCDof 420,100,466 is 2

Given Input numbers are 420, 100, 466

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 466

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

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 420, 100, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 100, 466 is 2.

Therefore, GCD of numbers 420, 100, 466 is 2

Finding GCD of 420, 100, 466 using Prime Factorization

Given Input Data is 420, 100, 466

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 466 is 2 x 233

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 420, 100, 466 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(420, 100) = 2100

GCD(420, 100) = ( 420 x 100 ) / 2100

GCD(420, 100) = 42000 / 2100

GCD(420, 100) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 466

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(20, 466) = 4660

GCD(20, 466) = ( 20 x 466 ) / 4660

GCD(20, 466) = 9320 / 4660

GCD(20, 466) = 2

GCD of 420, 100, 466 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 420, 100, 466

1. What is the GCD of 420, 100, 466?

GCD of 420, 100, 466 is 2

2. Where do I get the detailed procedure to find GCD of 420, 100, 466?

You can find a detailed procedure to find GCD of 420, 100, 466 on our page.

3. How to find GCD of 420, 100, 466 on a calculator?

You can find the GCD of 420, 100, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.