GCD of 731, 169, 36, 465 Calculator

Given Input numbers are 731, 169, 36, 465

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 731, 169, 36, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 169, 36, 465 is 1.

Therefore, GCD of numbers 731, 169, 36, 465 is 1

Given Input Data is 731, 169, 36, 465

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 169 is 13 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 465 is 3 x 5 x 31

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(731, 169) = 123539

GCD(731, 169) = ( 731 x 169 ) / 123539

GCD(731, 169) = 123539 / 123539

GCD(731, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 731, 169, 36, 465 is 1

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1. What is the GCD of 731, 169, 36, 465?

GCD of 731, 169, 36, 465 is 1

2. Where do I get the detailed procedure to find GCD of 731, 169, 36, 465?

You can find a detailed procedure to find GCD of 731, 169, 36, 465 on our page.

3. How to find GCD of 731, 169, 36, 465 on a calculator?

You can find the GCD of 731, 169, 36, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.