GCD of 596, 148, 21, 436 Calculator

Given Input numbers are 596, 148, 21, 436

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 21

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

1, 3, 7, 21

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 596, 148, 21, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 148, 21, 436 is 1.

Therefore, GCD of numbers 596, 148, 21, 436 is 1

Given Input Data is 596, 148, 21, 436

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 436 is 2 x 2 x 109

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(596, 148) = 22052

GCD(596, 148) = ( 596 x 148 ) / 22052

GCD(596, 148) = 88208 / 22052

GCD(596, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 596, 148, 21, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 998, 23, 509
• GCD of 343, 171, 62, 432
• GCD of 366, 579, 48, 918
• GCD of 453, 128, 18, 738
• GCD of 273, 627, 50, 435

1. What is the GCD of 596, 148, 21, 436?

GCD of 596, 148, 21, 436 is 1

2. Where do I get the detailed procedure to find GCD of 596, 148, 21, 436?

You can find a detailed procedure to find GCD of 596, 148, 21, 436 on our page.

3. How to find GCD of 596, 148, 21, 436 on a calculator?

You can find the GCD of 596, 148, 21, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.