GCD of 186, 735, 36, 398 Calculator

Given Input numbers are 186, 735, 36, 398

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 186, 735, 36, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 735, 36, 398 is 1.

Therefore, GCD of numbers 186, 735, 36, 398 is 1

Given Input Data is 186, 735, 36, 398

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 398 is 2 x 199

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(186, 735) = 45570

GCD(186, 735) = ( 186 x 735 ) / 45570

GCD(186, 735) = 136710 / 45570

GCD(186, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1

GCD of 186, 735, 36, 398 is 1

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• GCD of 398, 352, 84, 940
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1. What is the GCD of 186, 735, 36, 398?

GCD of 186, 735, 36, 398 is 1

2. Where do I get the detailed procedure to find GCD of 186, 735, 36, 398?

You can find a detailed procedure to find GCD of 186, 735, 36, 398 on our page.

3. How to find GCD of 186, 735, 36, 398 on a calculator?

You can find the GCD of 186, 735, 36, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.