GCD of 369, 854, 372 Calculator

Given Input numbers are 369, 854, 372

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 369, 854, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 854, 372 is 1.

Therefore, GCD of numbers 369, 854, 372 is 1

Given Input Data is 369, 854, 372

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 854 is 2 x 7 x 61

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(369, 854) = 315126

GCD(369, 854) = ( 369 x 854 ) / 315126

GCD(369, 854) = 315126 / 315126

GCD(369, 854) = 1

Step2:

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 369, 854, 372 is 1

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1. What is the GCD of 369, 854, 372?

GCD of 369, 854, 372 is 1

2. Where do I get the detailed procedure to find GCD of 369, 854, 372?

You can find a detailed procedure to find GCD of 369, 854, 372 on our page.

3. How to find GCD of 369, 854, 372 on a calculator?

You can find the GCD of 369, 854, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.