GCD of 502, 486, 214, 693 Calculator

Given Input numbers are 502, 486, 214, 693

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 502, 486, 214, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 486, 214, 693 is 1.

Therefore, GCD of numbers 502, 486, 214, 693 is 1

Given Input Data is 502, 486, 214, 693

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 214 is 2 x 107

Prime Factorization of 693 is 3 x 3 x 7 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(502, 486) = 121986

GCD(502, 486) = ( 502 x 486 ) / 121986

GCD(502, 486) = 243972 / 121986

GCD(502, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 502, 486, 214, 693 is 1

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1. What is the GCD of 502, 486, 214, 693?

GCD of 502, 486, 214, 693 is 1

2. Where do I get the detailed procedure to find GCD of 502, 486, 214, 693?

You can find a detailed procedure to find GCD of 502, 486, 214, 693 on our page.

3. How to find GCD of 502, 486, 214, 693 on a calculator?

You can find the GCD of 502, 486, 214, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.