GCD of 363, 749, 20, 897 Calculator

Given Input numbers are 363, 749, 20, 897

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 363, 749, 20, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 749, 20, 897 is 1.

Therefore, GCD of numbers 363, 749, 20, 897 is 1

Given Input Data is 363, 749, 20, 897

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 749 is 7 x 107

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 897 is 3 x 13 x 23

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(363, 749) = 271887

GCD(363, 749) = ( 363 x 749 ) / 271887

GCD(363, 749) = 271887 / 271887

GCD(363, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 363, 749, 20, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 289, 92, 821
• GCD of 623, 300, 40, 502
• GCD of 278, 850, 24, 222
• GCD of 565, 187, 39, 897
• GCD of 344, 250, 63, 316

1. What is the GCD of 363, 749, 20, 897?

GCD of 363, 749, 20, 897 is 1

2. Where do I get the detailed procedure to find GCD of 363, 749, 20, 897?

You can find a detailed procedure to find GCD of 363, 749, 20, 897 on our page.

3. How to find GCD of 363, 749, 20, 897 on a calculator?

You can find the GCD of 363, 749, 20, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.