GCD of 696, 959, 684, 905 Calculator

Given Input numbers are 696, 959, 684, 905

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

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 696, 959, 684, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 959, 684, 905 is 1.

Therefore, GCD of numbers 696, 959, 684, 905 is 1

Given Input Data is 696, 959, 684, 905

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

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 905 is 5 x 181

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(696, 959) = 667464

GCD(696, 959) = ( 696 x 959 ) / 667464

GCD(696, 959) = 667464 / 667464

GCD(696, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 696, 959, 684, 905 is 1

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1. What is the GCD of 696, 959, 684, 905?

GCD of 696, 959, 684, 905 is 1

2. Where do I get the detailed procedure to find GCD of 696, 959, 684, 905?

You can find a detailed procedure to find GCD of 696, 959, 684, 905 on our page.

3. How to find GCD of 696, 959, 684, 905 on a calculator?

You can find the GCD of 696, 959, 684, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.