GCD of 153, 380, 549, 596 Calculator

Given Input numbers are 153, 380, 549, 596

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

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 153, 380, 549, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 380, 549, 596 is 1.

Therefore, GCD of numbers 153, 380, 549, 596 is 1

Given Input Data is 153, 380, 549, 596

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 549 is 3 x 3 x 61

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(153, 380) = 58140

GCD(153, 380) = ( 153 x 380 ) / 58140

GCD(153, 380) = 58140 / 58140

GCD(153, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 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 153, 380, 549, 596 is 1

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1. What is the GCD of 153, 380, 549, 596?

GCD of 153, 380, 549, 596 is 1

2. Where do I get the detailed procedure to find GCD of 153, 380, 549, 596?

You can find a detailed procedure to find GCD of 153, 380, 549, 596 on our page.

3. How to find GCD of 153, 380, 549, 596 on a calculator?

You can find the GCD of 153, 380, 549, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.