GCD of 186, 346, 307, 353 Calculator

Given Input numbers are 186, 346, 307, 353

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 186, 346, 307, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 346, 307, 353 is 1.

Therefore, GCD of numbers 186, 346, 307, 353 is 1

Given Input Data is 186, 346, 307, 353

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 346 is 2 x 173

Prime Factorization of 307 is 307

Prime Factorization of 353 is 353

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, 346) = 32178

GCD(186, 346) = ( 186 x 346 ) / 32178

GCD(186, 346) = 64356 / 32178

GCD(186, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 186, 346, 307, 353 is 1

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1. What is the GCD of 186, 346, 307, 353?

GCD of 186, 346, 307, 353 is 1

2. Where do I get the detailed procedure to find GCD of 186, 346, 307, 353?

You can find a detailed procedure to find GCD of 186, 346, 307, 353 on our page.

3. How to find GCD of 186, 346, 307, 353 on a calculator?

You can find the GCD of 186, 346, 307, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.