GCD of 165, 460, 362, 600 Calculator

Given Input numbers are 165, 460, 362, 600

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 165, 460, 362, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 460, 362, 600 is 1.

Therefore, GCD of numbers 165, 460, 362, 600 is 1

Given Input Data is 165, 460, 362, 600

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 460 is 2 x 2 x 5 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(165, 460) = 15180

GCD(165, 460) = ( 165 x 460 ) / 15180

GCD(165, 460) = 75900 / 15180

GCD(165, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 362

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

LCM(5, 362) = 1810

GCD(5, 362) = ( 5 x 362 ) / 1810

GCD(5, 362) = 1810 / 1810

GCD(5, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 165, 460, 362, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 510, 453, 105
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1. What is the GCD of 165, 460, 362, 600?

GCD of 165, 460, 362, 600 is 1

2. Where do I get the detailed procedure to find GCD of 165, 460, 362, 600?

You can find a detailed procedure to find GCD of 165, 460, 362, 600 on our page.

3. How to find GCD of 165, 460, 362, 600 on a calculator?

You can find the GCD of 165, 460, 362, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.