GCD of 412, 216, 763, 464 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 412, 216, 763, 464 i.e. 1 largest integer that divides all the numbers equally.

GCD of 412, 216, 763, 464 is 1

GCD(412, 216, 763, 464) = 1

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

GCD of

GCD of numbers 412, 216, 763, 464 is 1

GCD(412, 216, 763, 464) = 1

GCD of 412,216,763,464 Calculator

GCDof 412,216,763,464 is 1

Given Input numbers are 412, 216, 763, 464

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 412, 216, 763, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 216, 763, 464 is 1.

Therefore, GCD of numbers 412, 216, 763, 464 is 1

Finding GCD of 412, 216, 763, 464 using Prime Factorization

Given Input Data is 412, 216, 763, 464

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

Prime Factorization of 412 is 2 x 2 x 103

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

Finding GCD of 412, 216, 763, 464 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(412, 216) = 22248

GCD(412, 216) = ( 412 x 216 ) / 22248

GCD(412, 216) = 88992 / 22248

GCD(412, 216) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 763

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

LCM(4, 763) = 3052

GCD(4, 763) = ( 4 x 763 ) / 3052

GCD(4, 763) = 3052 / 3052

GCD(4, 763) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 412, 216, 763, 464 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 412, 216, 763, 464

1. What is the GCD of 412, 216, 763, 464?

GCD of 412, 216, 763, 464 is 1


2. Where do I get the detailed procedure to find GCD of 412, 216, 763, 464?

You can find a detailed procedure to find GCD of 412, 216, 763, 464 on our page.


3. How to find GCD of 412, 216, 763, 464 on a calculator?

You can find the GCD of 412, 216, 763, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.