GCD of 416, 464, 57, 502 Calculator

Given Input numbers are 416, 464, 57, 502

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 416, 464, 57, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 464, 57, 502 is 1.

Therefore, GCD of numbers 416, 464, 57, 502 is 1

Given Input Data is 416, 464, 57, 502

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 502 is 2 x 251

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(416, 464) = 12064

GCD(416, 464) = ( 416 x 464 ) / 12064

GCD(416, 464) = 193024 / 12064

GCD(416, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 57

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

LCM(16, 57) = 912

GCD(16, 57) = ( 16 x 57 ) / 912

GCD(16, 57) = 912 / 912

GCD(16, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 416, 464, 57, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 459, 44, 704
• GCD of 434, 422, 77, 142
• GCD of 289, 132, 54, 925
• GCD of 231, 409, 52, 463
• GCD of 512, 690, 34, 938

1. What is the GCD of 416, 464, 57, 502?

GCD of 416, 464, 57, 502 is 1

2. Where do I get the detailed procedure to find GCD of 416, 464, 57, 502?

You can find a detailed procedure to find GCD of 416, 464, 57, 502 on our page.

3. How to find GCD of 416, 464, 57, 502 on a calculator?

You can find the GCD of 416, 464, 57, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.