GCD of 960, 696, 406, 837 Calculator

Given Input numbers are 960, 696, 406, 837

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 406

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

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

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 960, 696, 406, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 696, 406, 837 is 1.

Therefore, GCD of numbers 960, 696, 406, 837 is 1

Given Input Data is 960, 696, 406, 837

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 837 is 3 x 3 x 3 x 31

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

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(960, 696) = 27840

GCD(960, 696) = ( 960 x 696 ) / 27840

GCD(960, 696) = 668160 / 27840

GCD(960, 696) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 406

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

LCM(24, 406) = 4872

GCD(24, 406) = ( 24 x 406 ) / 4872

GCD(24, 406) = 9744 / 4872

GCD(24, 406) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 837

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

LCM(2, 837) = 1674

GCD(2, 837) = ( 2 x 837 ) / 1674

GCD(2, 837) = 1674 / 1674

GCD(2, 837) = 1

GCD of 960, 696, 406, 837 is 1

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1. What is the GCD of 960, 696, 406, 837?

GCD of 960, 696, 406, 837 is 1

2. Where do I get the detailed procedure to find GCD of 960, 696, 406, 837?

You can find a detailed procedure to find GCD of 960, 696, 406, 837 on our page.

3. How to find GCD of 960, 696, 406, 837 on a calculator?

You can find the GCD of 960, 696, 406, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.