GCD of 422, 612, 35, 704 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 422, 612, 35, 704 i.e. 1 largest integer that divides all the numbers equally.

GCD of 422, 612, 35, 704 is 1

GCD(422, 612, 35, 704) = 1

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

GCD of

GCD of numbers 422, 612, 35, 704 is 1

GCD(422, 612, 35, 704) = 1

GCD of 422,612,35,704 Calculator

GCDof 422,612,35,704 is 1

Given Input numbers are 422, 612, 35, 704

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 422, 612, 35, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 612, 35, 704 is 1.

Therefore, GCD of numbers 422, 612, 35, 704 is 1

Finding GCD of 422, 612, 35, 704 using Prime Factorization

Given Input Data is 422, 612, 35, 704

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Finding GCD of 422, 612, 35, 704 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(422, 612) = 129132

GCD(422, 612) = ( 422 x 612 ) / 129132

GCD(422, 612) = 258264 / 129132

GCD(422, 612) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 422, 612, 35, 704 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 422, 612, 35, 704

1. What is the GCD of 422, 612, 35, 704?

GCD of 422, 612, 35, 704 is 1


2. Where do I get the detailed procedure to find GCD of 422, 612, 35, 704?

You can find a detailed procedure to find GCD of 422, 612, 35, 704 on our page.


3. How to find GCD of 422, 612, 35, 704 on a calculator?

You can find the GCD of 422, 612, 35, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.