GCD of 165, 925, 365, 590 Calculator

Given Input numbers are 165, 925, 365, 590

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 165, 925, 365, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 925, 365, 590 is 5.

Therefore, GCD of numbers 165, 925, 365, 590 is 5

Given Input Data is 165, 925, 365, 590

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 365 is 5 x 73

Prime Factorization of 590 is 2 x 5 x 59

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(165, 925) = 30525

GCD(165, 925) = ( 165 x 925 ) / 30525

GCD(165, 925) = 152625 / 30525

GCD(165, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 365

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

LCM(5, 365) = 365

GCD(5, 365) = ( 5 x 365 ) / 365

GCD(5, 365) = 1825 / 365

GCD(5, 365) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 590

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

LCM(5, 590) = 590

GCD(5, 590) = ( 5 x 590 ) / 590

GCD(5, 590) = 2950 / 590

GCD(5, 590) = 5

GCD of 165, 925, 365, 590 is 5

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1. What is the GCD of 165, 925, 365, 590?

GCD of 165, 925, 365, 590 is 5

2. Where do I get the detailed procedure to find GCD of 165, 925, 365, 590?

You can find a detailed procedure to find GCD of 165, 925, 365, 590 on our page.

3. How to find GCD of 165, 925, 365, 590 on a calculator?

You can find the GCD of 165, 925, 365, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.