GCD of 172, 509, 84, 927 Calculator

Given Input numbers are 172, 509, 84, 927

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 172, 509, 84, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 509, 84, 927 is 1.

Therefore, GCD of numbers 172, 509, 84, 927 is 1

Given Input Data is 172, 509, 84, 927

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 509 is 509

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

Prime Factorization of 927 is 3 x 3 x 103

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(172, 509) = 87548

GCD(172, 509) = ( 172 x 509 ) / 87548

GCD(172, 509) = 87548 / 87548

GCD(172, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

GCD of 172, 509, 84, 927 is 1

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1. What is the GCD of 172, 509, 84, 927?

GCD of 172, 509, 84, 927 is 1

2. Where do I get the detailed procedure to find GCD of 172, 509, 84, 927?

You can find a detailed procedure to find GCD of 172, 509, 84, 927 on our page.

3. How to find GCD of 172, 509, 84, 927 on a calculator?

You can find the GCD of 172, 509, 84, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.