GCD of 689, 905, 74, 396 Calculator

Given Input numbers are 689, 905, 74, 396

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 905

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

1, 5, 181, 905

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 689, 905, 74, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 905, 74, 396 is 1.

Therefore, GCD of numbers 689, 905, 74, 396 is 1

Given Input Data is 689, 905, 74, 396

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 905 is 5 x 181

Prime Factorization of 74 is 2 x 37

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(689, 905) = 623545

GCD(689, 905) = ( 689 x 905 ) / 623545

GCD(689, 905) = 623545 / 623545

GCD(689, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 689, 905, 74, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 501, 75, 727
• GCD of 359, 233, 81, 525
• GCD of 200, 237, 67, 169
• GCD of 143, 155, 87, 931
• GCD of 341, 363, 28, 882

1. What is the GCD of 689, 905, 74, 396?

GCD of 689, 905, 74, 396 is 1

2. Where do I get the detailed procedure to find GCD of 689, 905, 74, 396?

You can find a detailed procedure to find GCD of 689, 905, 74, 396 on our page.

3. How to find GCD of 689, 905, 74, 396 on a calculator?

You can find the GCD of 689, 905, 74, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.