GCD of 372, 387, 57, 172 Calculator

Given Input numbers are 372, 387, 57, 172

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 372, 387, 57, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 387, 57, 172 is 1.

Therefore, GCD of numbers 372, 387, 57, 172 is 1

Given Input Data is 372, 387, 57, 172

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 57 is 3 x 19

Prime Factorization of 172 is 2 x 2 x 43

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(372, 387) = 47988

GCD(372, 387) = ( 372 x 387 ) / 47988

GCD(372, 387) = 143964 / 47988

GCD(372, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

GCD of 372, 387, 57, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 716, 10, 747
• GCD of 418, 847, 80, 247
• GCD of 603, 173, 19, 653
• GCD of 508, 577, 33, 936
• GCD of 434, 929, 89, 268

1. What is the GCD of 372, 387, 57, 172?

GCD of 372, 387, 57, 172 is 1

2. Where do I get the detailed procedure to find GCD of 372, 387, 57, 172?

You can find a detailed procedure to find GCD of 372, 387, 57, 172 on our page.

3. How to find GCD of 372, 387, 57, 172 on a calculator?

You can find the GCD of 372, 387, 57, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.