GCD of 420, 651, 407, 956 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, 651, 407, 956 i.e. 1 largest integer that divides all the numbers equally.

GCD of 420, 651, 407, 956 is 1

GCD(420, 651, 407, 956) = 1

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

GCD of

GCD of numbers 420, 651, 407, 956 is 1

GCD(420, 651, 407, 956) = 1

GCD of 420,651,407,956 Calculator

GCDof 420,651,407,956 is 1

Given Input numbers are 420, 651, 407, 956

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 420, 651, 407, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 651, 407, 956 is 1.

Therefore, GCD of numbers 420, 651, 407, 956 is 1

Finding GCD of 420, 651, 407, 956 using Prime Factorization

Given Input Data is 420, 651, 407, 956

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 651 is 3 x 7 x 31

Prime Factorization of 407 is 11 x 37

Prime Factorization of 956 is 2 x 2 x 239

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

Finding GCD of 420, 651, 407, 956 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, 651) = 13020

GCD(420, 651) = ( 420 x 651 ) / 13020

GCD(420, 651) = 273420 / 13020

GCD(420, 651) = 21


Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 407

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

LCM(21, 407) = 8547

GCD(21, 407) = ( 21 x 407 ) / 8547

GCD(21, 407) = 8547 / 8547

GCD(21, 407) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 420, 651, 407, 956 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 420, 651, 407, 956

1. What is the GCD of 420, 651, 407, 956?

GCD of 420, 651, 407, 956 is 1


2. Where do I get the detailed procedure to find GCD of 420, 651, 407, 956?

You can find a detailed procedure to find GCD of 420, 651, 407, 956 on our page.


3. How to find GCD of 420, 651, 407, 956 on a calculator?

You can find the GCD of 420, 651, 407, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.