GCD of 172, 804, 99, 371 Calculator

Given Input numbers are 172, 804, 99, 371

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 172, 804, 99, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 804, 99, 371 is 1.

Therefore, GCD of numbers 172, 804, 99, 371 is 1

Given Input Data is 172, 804, 99, 371

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 804 is 2 x 2 x 3 x 67

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 371 is 7 x 53

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, 804) = 34572

GCD(172, 804) = ( 172 x 804 ) / 34572

GCD(172, 804) = 138288 / 34572

GCD(172, 804) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 99

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

LCM(4, 99) = 396

GCD(4, 99) = ( 4 x 99 ) / 396

GCD(4, 99) = 396 / 396

GCD(4, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 172, 804, 99, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 564, 34, 755
• GCD of 782, 755, 40, 667
• GCD of 658, 284, 42, 639
• GCD of 618, 343, 38, 923
• GCD of 128, 787, 25, 726

1. What is the GCD of 172, 804, 99, 371?

GCD of 172, 804, 99, 371 is 1

2. Where do I get the detailed procedure to find GCD of 172, 804, 99, 371?

You can find a detailed procedure to find GCD of 172, 804, 99, 371 on our page.

3. How to find GCD of 172, 804, 99, 371 on a calculator?

You can find the GCD of 172, 804, 99, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.