GCD of 186, 336, 945, 217 Calculator

Given Input numbers are 186, 336, 945, 217

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 186, 336, 945, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 336, 945, 217 is 1.

Therefore, GCD of numbers 186, 336, 945, 217 is 1

Given Input Data is 186, 336, 945, 217

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 217 is 7 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(186, 336) = 10416

GCD(186, 336) = ( 186 x 336 ) / 10416

GCD(186, 336) = 62496 / 10416

GCD(186, 336) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 945

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

LCM(6, 945) = 1890

GCD(6, 945) = ( 6 x 945 ) / 1890

GCD(6, 945) = 5670 / 1890

GCD(6, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

GCD of 186, 336, 945, 217 is 1

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1. What is the GCD of 186, 336, 945, 217?

GCD of 186, 336, 945, 217 is 1

2. Where do I get the detailed procedure to find GCD of 186, 336, 945, 217?

You can find a detailed procedure to find GCD of 186, 336, 945, 217 on our page.

3. How to find GCD of 186, 336, 945, 217 on a calculator?

You can find the GCD of 186, 336, 945, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.