GCD of 420, 953, 216, 392 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, 953, 216, 392 i.e. 1 largest integer that divides all the numbers equally.

GCD of 420, 953, 216, 392 is 1

GCD(420, 953, 216, 392) = 1

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

GCD of

GCD of numbers 420, 953, 216, 392 is 1

GCD(420, 953, 216, 392) = 1

GCD of 420,953,216,392 Calculator

GCDof 420,953,216,392 is 1

Given Input numbers are 420, 953, 216, 392

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 420, 953, 216, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 953, 216, 392 is 1.

Therefore, GCD of numbers 420, 953, 216, 392 is 1

Finding GCD of 420, 953, 216, 392 using Prime Factorization

Given Input Data is 420, 953, 216, 392

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 953 is 953

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 420, 953, 216, 392 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, 953) = 400260

GCD(420, 953) = ( 420 x 953 ) / 400260

GCD(420, 953) = 400260 / 400260

GCD(420, 953) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 420, 953, 216, 392 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 420, 953, 216, 392

1. What is the GCD of 420, 953, 216, 392?

GCD of 420, 953, 216, 392 is 1


2. Where do I get the detailed procedure to find GCD of 420, 953, 216, 392?

You can find a detailed procedure to find GCD of 420, 953, 216, 392 on our page.


3. How to find GCD of 420, 953, 216, 392 on a calculator?

You can find the GCD of 420, 953, 216, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.