GCD of 506, 172, 84, 781 Calculator

Given Input numbers are 506, 172, 84, 781

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 506, 172, 84, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 172, 84, 781 is 1.

Therefore, GCD of numbers 506, 172, 84, 781 is 1

Given Input Data is 506, 172, 84, 781

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 781 is 11 x 71

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(506, 172) = 43516

GCD(506, 172) = ( 506 x 172 ) / 43516

GCD(506, 172) = 87032 / 43516

GCD(506, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 506, 172, 84, 781 is 1

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• GCD of 243, 600, 97, 700
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1. What is the GCD of 506, 172, 84, 781?

GCD of 506, 172, 84, 781 is 1

2. Where do I get the detailed procedure to find GCD of 506, 172, 84, 781?

You can find a detailed procedure to find GCD of 506, 172, 84, 781 on our page.

3. How to find GCD of 506, 172, 84, 781 on a calculator?

You can find the GCD of 506, 172, 84, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.