GCD of 172, 662, 519, 849 Calculator

Given Input numbers are 172, 662, 519, 849

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 172, 662, 519, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 662, 519, 849 is 1.

Therefore, GCD of numbers 172, 662, 519, 849 is 1

Given Input Data is 172, 662, 519, 849

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 662 is 2 x 331

Prime Factorization of 519 is 3 x 173

Prime Factorization of 849 is 3 x 283

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, 662) = 56932

GCD(172, 662) = ( 172 x 662 ) / 56932

GCD(172, 662) = 113864 / 56932

GCD(172, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 172, 662, 519, 849 is 1

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1. What is the GCD of 172, 662, 519, 849?

GCD of 172, 662, 519, 849 is 1

2. Where do I get the detailed procedure to find GCD of 172, 662, 519, 849?

You can find a detailed procedure to find GCD of 172, 662, 519, 849 on our page.

3. How to find GCD of 172, 662, 519, 849 on a calculator?

You can find the GCD of 172, 662, 519, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.