GCD of 684, 961, 408, 899 Calculator

Given Input numbers are 684, 961, 408, 899

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

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 684, 961, 408, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 961, 408, 899 is 1.

Therefore, GCD of numbers 684, 961, 408, 899 is 1

Given Input Data is 684, 961, 408, 899

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

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 899 is 29 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(684, 961) = 657324

GCD(684, 961) = ( 684 x 961 ) / 657324

GCD(684, 961) = 657324 / 657324

GCD(684, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 684, 961, 408, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 626, 533, 811
• GCD of 745, 500, 113, 911
• GCD of 431, 804, 101, 227
• GCD of 845, 469, 271, 126
• GCD of 404, 906, 169, 766

1. What is the GCD of 684, 961, 408, 899?

GCD of 684, 961, 408, 899 is 1

2. Where do I get the detailed procedure to find GCD of 684, 961, 408, 899?

You can find a detailed procedure to find GCD of 684, 961, 408, 899 on our page.

3. How to find GCD of 684, 961, 408, 899 on a calculator?

You can find the GCD of 684, 961, 408, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.