GCD of 20, 637, 300, 735 Calculator

Given Input numbers are 20, 637, 300, 735

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 20, 637, 300, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 637, 300, 735 is 1.

Therefore, GCD of numbers 20, 637, 300, 735 is 1

Given Input Data is 20, 637, 300, 735

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 735 is 3 x 5 x 7 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(20, 637) = 12740

GCD(20, 637) = ( 20 x 637 ) / 12740

GCD(20, 637) = 12740 / 12740

GCD(20, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 20, 637, 300, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 531, 236, 394
• GCD of 42, 430, 199, 853
• GCD of 73, 599, 772, 246
• GCD of 11, 493, 534, 381
• GCD of 56, 625, 581, 391

1. What is the GCD of 20, 637, 300, 735?

GCD of 20, 637, 300, 735 is 1

2. Where do I get the detailed procedure to find GCD of 20, 637, 300, 735?

You can find a detailed procedure to find GCD of 20, 637, 300, 735 on our page.

3. How to find GCD of 20, 637, 300, 735 on a calculator?

You can find the GCD of 20, 637, 300, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.