GCD of 46, 369, 171, 590 Calculator

Given Input numbers are 46, 369, 171, 590

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 46, 369, 171, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 369, 171, 590 is 1.

Therefore, GCD of numbers 46, 369, 171, 590 is 1

Given Input Data is 46, 369, 171, 590

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 590 is 2 x 5 x 59

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(46, 369) = 16974

GCD(46, 369) = ( 46 x 369 ) / 16974

GCD(46, 369) = 16974 / 16974

GCD(46, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 46, 369, 171, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 919, 163, 753
• GCD of 15, 722, 938, 229
• GCD of 38, 165, 348, 655
• GCD of 36, 200, 865, 623
• GCD of 84, 112, 920, 264

1. What is the GCD of 46, 369, 171, 590?

GCD of 46, 369, 171, 590 is 1

2. Where do I get the detailed procedure to find GCD of 46, 369, 171, 590?

You can find a detailed procedure to find GCD of 46, 369, 171, 590 on our page.

3. How to find GCD of 46, 369, 171, 590 on a calculator?

You can find the GCD of 46, 369, 171, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.