GCD of 137, 596, 30, 478 Calculator

Given Input numbers are 137, 596, 30, 478

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 596

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

1, 2, 4, 149, 298, 596

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 137, 596, 30, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 596, 30, 478 is 1.

Therefore, GCD of numbers 137, 596, 30, 478 is 1

Given Input Data is 137, 596, 30, 478

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

Prime Factorization of 137 is 137

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 478 is 2 x 239

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(137, 596) = 81652

GCD(137, 596) = ( 137 x 596 ) / 81652

GCD(137, 596) = 81652 / 81652

GCD(137, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 137, 596, 30, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 976, 24, 850
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• GCD of 932, 682, 36, 172
• GCD of 274, 991, 83, 833
• GCD of 610, 650, 10, 189

1. What is the GCD of 137, 596, 30, 478?

GCD of 137, 596, 30, 478 is 1

2. Where do I get the detailed procedure to find GCD of 137, 596, 30, 478?

You can find a detailed procedure to find GCD of 137, 596, 30, 478 on our page.

3. How to find GCD of 137, 596, 30, 478 on a calculator?

You can find the GCD of 137, 596, 30, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.