GCD of 165, 723, 533, 464 Calculator

Given Input numbers are 165, 723, 533, 464

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 165, 723, 533, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 723, 533, 464 is 1.

Therefore, GCD of numbers 165, 723, 533, 464 is 1

Given Input Data is 165, 723, 533, 464

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 723 is 3 x 241

Prime Factorization of 533 is 13 x 41

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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, 723) = 39765

GCD(165, 723) = ( 165 x 723 ) / 39765

GCD(165, 723) = 119295 / 39765

GCD(165, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 533

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

LCM(3, 533) = 1599

GCD(3, 533) = ( 3 x 533 ) / 1599

GCD(3, 533) = 1599 / 1599

GCD(3, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 165, 723, 533, 464 is 1

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• GCD of 996, 814, 259, 254
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1. What is the GCD of 165, 723, 533, 464?

GCD of 165, 723, 533, 464 is 1

2. Where do I get the detailed procedure to find GCD of 165, 723, 533, 464?

You can find a detailed procedure to find GCD of 165, 723, 533, 464 on our page.

3. How to find GCD of 165, 723, 533, 464 on a calculator?

You can find the GCD of 165, 723, 533, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.