GCD of 24, 428, 464, 165 Calculator

Given Input numbers are 24, 428, 464, 165

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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

Divisors of 165

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

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

Greatest Common Divisior

We found the divisors of 24, 428, 464, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 428, 464, 165 is 1.

Therefore, GCD of numbers 24, 428, 464, 165 is 1

Given Input Data is 24, 428, 464, 165

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 165 is 3 x 5 x 11

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(24, 428) = 2568

GCD(24, 428) = ( 24 x 428 ) / 2568

GCD(24, 428) = 10272 / 2568

GCD(24, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 464

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

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

GCD(4, 464) = 1856 / 464

GCD(4, 464) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 165

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

LCM(4, 165) = 660

GCD(4, 165) = ( 4 x 165 ) / 660

GCD(4, 165) = 660 / 660

GCD(4, 165) = 1

GCD of 24, 428, 464, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 394, 449, 613
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• GCD of 71, 697, 748, 583
• GCD of 90, 316, 974, 434
• GCD of 34, 516, 281, 996

1. What is the GCD of 24, 428, 464, 165?

GCD of 24, 428, 464, 165 is 1

2. Where do I get the detailed procedure to find GCD of 24, 428, 464, 165?

You can find a detailed procedure to find GCD of 24, 428, 464, 165 on our page.

3. How to find GCD of 24, 428, 464, 165 on a calculator?

You can find the GCD of 24, 428, 464, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.