GCD of 502, 602, 46, 408 Calculator

Given Input numbers are 502, 602, 46, 408

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 502, 602, 46, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 602, 46, 408 is 2.

Therefore, GCD of numbers 502, 602, 46, 408 is 2

Given Input Data is 502, 602, 46, 408

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 46 is 2 x 23

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(502, 602) = 151102

GCD(502, 602) = ( 502 x 602 ) / 151102

GCD(502, 602) = 302204 / 151102

GCD(502, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 502, 602, 46, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 177, 81, 532
• GCD of 724, 932, 89, 385
• GCD of 233, 904, 97, 297
• GCD of 668, 151, 49, 335
• GCD of 749, 999, 65, 540

1. What is the GCD of 502, 602, 46, 408?

GCD of 502, 602, 46, 408 is 2

2. Where do I get the detailed procedure to find GCD of 502, 602, 46, 408?

You can find a detailed procedure to find GCD of 502, 602, 46, 408 on our page.

3. How to find GCD of 502, 602, 46, 408 on a calculator?

You can find the GCD of 502, 602, 46, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.