GCD of 179, 872, 971, 517 Calculator

Given Input numbers are 179, 872, 971, 517

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 179, 872, 971, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 872, 971, 517 is 1.

Therefore, GCD of numbers 179, 872, 971, 517 is 1

Given Input Data is 179, 872, 971, 517

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

Prime Factorization of 179 is 179

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 971 is 971

Prime Factorization of 517 is 11 x 47

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(179, 872) = 156088

GCD(179, 872) = ( 179 x 872 ) / 156088

GCD(179, 872) = 156088 / 156088

GCD(179, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 179, 872, 971, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 974, 264, 222
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• GCD of 898, 828, 341, 632

1. What is the GCD of 179, 872, 971, 517?

GCD of 179, 872, 971, 517 is 1

2. Where do I get the detailed procedure to find GCD of 179, 872, 971, 517?

You can find a detailed procedure to find GCD of 179, 872, 971, 517 on our page.

3. How to find GCD of 179, 872, 971, 517 on a calculator?

You can find the GCD of 179, 872, 971, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.