GCD of 165, 171, 52, 784 Calculator

Given Input numbers are 165, 171, 52, 784

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 171

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

1, 3, 9, 19, 57, 171

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 165, 171, 52, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 171, 52, 784 is 1.

Therefore, GCD of numbers 165, 171, 52, 784 is 1

Given Input Data is 165, 171, 52, 784

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 171 is 3 x 3 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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, 171) = 9405

GCD(165, 171) = ( 165 x 171 ) / 9405

GCD(165, 171) = 28215 / 9405

GCD(165, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 165, 171, 52, 784 is 1

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1. What is the GCD of 165, 171, 52, 784?

GCD of 165, 171, 52, 784 is 1

2. Where do I get the detailed procedure to find GCD of 165, 171, 52, 784?

You can find a detailed procedure to find GCD of 165, 171, 52, 784 on our page.

3. How to find GCD of 165, 171, 52, 784 on a calculator?

You can find the GCD of 165, 171, 52, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.