GCD of 502, 294, 649, 562 Calculator

Given Input numbers are 502, 294, 649, 562

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 502, 294, 649, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 294, 649, 562 is 1.

Therefore, GCD of numbers 502, 294, 649, 562 is 1

Given Input Data is 502, 294, 649, 562

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 649 is 11 x 59

Prime Factorization of 562 is 2 x 281

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, 294) = 73794

GCD(502, 294) = ( 502 x 294 ) / 73794

GCD(502, 294) = 147588 / 73794

GCD(502, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 502, 294, 649, 562 is 1

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1. What is the GCD of 502, 294, 649, 562?

GCD of 502, 294, 649, 562 is 1

2. Where do I get the detailed procedure to find GCD of 502, 294, 649, 562?

You can find a detailed procedure to find GCD of 502, 294, 649, 562 on our page.

3. How to find GCD of 502, 294, 649, 562 on a calculator?

You can find the GCD of 502, 294, 649, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.