GCD of 36, 321, 898, 672 Calculator

Given Input numbers are 36, 321, 898, 672

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 36, 321, 898, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 321, 898, 672 is 1.

Therefore, GCD of numbers 36, 321, 898, 672 is 1

Given Input Data is 36, 321, 898, 672

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 321 is 3 x 107

Prime Factorization of 898 is 2 x 449

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(36, 321) = 3852

GCD(36, 321) = ( 36 x 321 ) / 3852

GCD(36, 321) = 11556 / 3852

GCD(36, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 36, 321, 898, 672 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 827, 408, 875
• GCD of 25, 233, 947, 228
• GCD of 86, 706, 984, 699
• GCD of 60, 596, 869, 359
• GCD of 10, 149, 611, 948

1. What is the GCD of 36, 321, 898, 672?

GCD of 36, 321, 898, 672 is 1

2. Where do I get the detailed procedure to find GCD of 36, 321, 898, 672?

You can find a detailed procedure to find GCD of 36, 321, 898, 672 on our page.

3. How to find GCD of 36, 321, 898, 672 on a calculator?

You can find the GCD of 36, 321, 898, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.