GCD of 212, 168, 31, 502 Calculator

Given Input numbers are 212, 168, 31, 502

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 212, 168, 31, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 168, 31, 502 is 1.

Therefore, GCD of numbers 212, 168, 31, 502 is 1

Given Input Data is 212, 168, 31, 502

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 31 is 31

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(212, 168) = 8904

GCD(212, 168) = ( 212 x 168 ) / 8904

GCD(212, 168) = 35616 / 8904

GCD(212, 168) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 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 212, 168, 31, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 953, 10, 786
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• GCD of 767, 266, 73, 243

1. What is the GCD of 212, 168, 31, 502?

GCD of 212, 168, 31, 502 is 1

2. Where do I get the detailed procedure to find GCD of 212, 168, 31, 502?

You can find a detailed procedure to find GCD of 212, 168, 31, 502 on our page.

3. How to find GCD of 212, 168, 31, 502 on a calculator?

You can find the GCD of 212, 168, 31, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.