GCD of 914, 187, 32, 372 Calculator

Given Input numbers are 914, 187, 32, 372

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 914, 187, 32, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 187, 32, 372 is 1.

Therefore, GCD of numbers 914, 187, 32, 372 is 1

Given Input Data is 914, 187, 32, 372

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 187 is 11 x 17

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

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(914, 187) = 170918

GCD(914, 187) = ( 914 x 187 ) / 170918

GCD(914, 187) = 170918 / 170918

GCD(914, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 914, 187, 32, 372 is 1

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1. What is the GCD of 914, 187, 32, 372?

GCD of 914, 187, 32, 372 is 1

2. Where do I get the detailed procedure to find GCD of 914, 187, 32, 372?

You can find a detailed procedure to find GCD of 914, 187, 32, 372 on our page.

3. How to find GCD of 914, 187, 32, 372 on a calculator?

You can find the GCD of 914, 187, 32, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.