GCD of 45, 193, 145, 596 Calculator

Given Input numbers are 45, 193, 145, 596

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 596

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

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 45, 193, 145, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 193, 145, 596 is 1.

Therefore, GCD of numbers 45, 193, 145, 596 is 1

Given Input Data is 45, 193, 145, 596

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 193 is 193

Prime Factorization of 145 is 5 x 29

Prime Factorization of 596 is 2 x 2 x 149

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(45, 193) = 8685

GCD(45, 193) = ( 45 x 193 ) / 8685

GCD(45, 193) = 8685 / 8685

GCD(45, 193) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 45, 193, 145, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 242, 449, 117
• GCD of 68, 996, 314, 487
• GCD of 71, 250, 914, 177
• GCD of 20, 849, 312, 784
• GCD of 13, 943, 695, 546

1. What is the GCD of 45, 193, 145, 596?

GCD of 45, 193, 145, 596 is 1

2. Where do I get the detailed procedure to find GCD of 45, 193, 145, 596?

You can find a detailed procedure to find GCD of 45, 193, 145, 596 on our page.

3. How to find GCD of 45, 193, 145, 596 on a calculator?

You can find the GCD of 45, 193, 145, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.