GCD of 595, 400, 21, 535 Calculator

Given Input numbers are 595, 400, 21, 535

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 595, 400, 21, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 400, 21, 535 is 1.

Therefore, GCD of numbers 595, 400, 21, 535 is 1

Given Input Data is 595, 400, 21, 535

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 535 is 5 x 107

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(595, 400) = 47600

GCD(595, 400) = ( 595 x 400 ) / 47600

GCD(595, 400) = 238000 / 47600

GCD(595, 400) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 21

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

LCM(5, 21) = 105

GCD(5, 21) = ( 5 x 21 ) / 105

GCD(5, 21) = 105 / 105

GCD(5, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 595, 400, 21, 535 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 305, 41, 912
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• GCD of 694, 167, 79, 970
• GCD of 574, 936, 24, 489

1. What is the GCD of 595, 400, 21, 535?

GCD of 595, 400, 21, 535 is 1

2. Where do I get the detailed procedure to find GCD of 595, 400, 21, 535?

You can find a detailed procedure to find GCD of 595, 400, 21, 535 on our page.

3. How to find GCD of 595, 400, 21, 535 on a calculator?

You can find the GCD of 595, 400, 21, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.