GCD of 506, 172, 83, 929 Calculator

Given Input numbers are 506, 172, 83, 929

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 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 506, 172, 83, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 172, 83, 929 is 1.

Therefore, GCD of numbers 506, 172, 83, 929 is 1

Given Input Data is 506, 172, 83, 929

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 83 is 83

Prime Factorization of 929 is 929

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 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 506, 172, 83, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 147, 22, 663
• GCD of 461, 231, 61, 557
• GCD of 412, 997, 78, 312
• GCD of 368, 140, 74, 474
• GCD of 643, 746, 74, 124

1. What is the GCD of 506, 172, 83, 929?

GCD of 506, 172, 83, 929 is 1

2. Where do I get the detailed procedure to find GCD of 506, 172, 83, 929?

You can find a detailed procedure to find GCD of 506, 172, 83, 929 on our page.

3. How to find GCD of 506, 172, 83, 929 on a calculator?

You can find the GCD of 506, 172, 83, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.