GCD of 952, 585, 10, 406 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 952, 585, 10, 406 i.e. 1 largest integer that divides all the numbers equally.

GCD of 952, 585, 10, 406 is 1

GCD(952, 585, 10, 406) = 1

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

GCD of

GCD of numbers 952, 585, 10, 406 is 1

GCD(952, 585, 10, 406) = 1

GCD of 952,585,10,406 Calculator

GCDof 952,585,10,406 is 1

Given Input numbers are 952, 585, 10, 406

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 952, 585, 10, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 585, 10, 406 is 1.

Therefore, GCD of numbers 952, 585, 10, 406 is 1

Finding GCD of 952, 585, 10, 406 using Prime Factorization

Given Input Data is 952, 585, 10, 406

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 406 is 2 x 7 x 29

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

Finding GCD of 952, 585, 10, 406 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(952, 585) = 556920

GCD(952, 585) = ( 952 x 585 ) / 556920

GCD(952, 585) = 556920 / 556920

GCD(952, 585) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 952, 585, 10, 406 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 952, 585, 10, 406

1. What is the GCD of 952, 585, 10, 406?

GCD of 952, 585, 10, 406 is 1


2. Where do I get the detailed procedure to find GCD of 952, 585, 10, 406?

You can find a detailed procedure to find GCD of 952, 585, 10, 406 on our page.


3. How to find GCD of 952, 585, 10, 406 on a calculator?

You can find the GCD of 952, 585, 10, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.