GCD of 962, 744, 10, 409 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 962, 744, 10, 409 i.e. 1 largest integer that divides all the numbers equally.

GCD of 962, 744, 10, 409 is 1

GCD(962, 744, 10, 409) = 1

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

GCD of

GCD of numbers 962, 744, 10, 409 is 1

GCD(962, 744, 10, 409) = 1

GCD of 962,744,10,409 Calculator

GCDof 962,744,10,409 is 1

Given Input numbers are 962, 744, 10, 409

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 10

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

1, 2, 5, 10

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 962, 744, 10, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 744, 10, 409 is 1.

Therefore, GCD of numbers 962, 744, 10, 409 is 1

Finding GCD of 962, 744, 10, 409 using Prime Factorization

Given Input Data is 962, 744, 10, 409

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 10 is 2 x 5

Prime Factorization of 409 is 409

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

Finding GCD of 962, 744, 10, 409 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(962, 744) = 357864

GCD(962, 744) = ( 962 x 744 ) / 357864

GCD(962, 744) = 715728 / 357864

GCD(962, 744) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 962, 744, 10, 409 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 962, 744, 10, 409

1. What is the GCD of 962, 744, 10, 409?

GCD of 962, 744, 10, 409 is 1


2. Where do I get the detailed procedure to find GCD of 962, 744, 10, 409?

You can find a detailed procedure to find GCD of 962, 744, 10, 409 on our page.


3. How to find GCD of 962, 744, 10, 409 on a calculator?

You can find the GCD of 962, 744, 10, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.