GCD of 187, 374, 58, 362 Calculator

Given Input numbers are 187, 374, 58, 362

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

Divisors of 187

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

1, 11, 17, 187

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 187, 374, 58, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 374, 58, 362 is 1.

Therefore, GCD of numbers 187, 374, 58, 362 is 1

Given Input Data is 187, 374, 58, 362

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 58 is 2 x 29

Prime Factorization of 362 is 2 x 181

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(187, 374) = 374

GCD(187, 374) = ( 187 x 374 ) / 374

GCD(187, 374) = 69938 / 374

GCD(187, 374) = 187

Step2:

Here we consider the GCD from the above i.e. 187 as first number and the next as 58

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

LCM(187, 58) = 10846

GCD(187, 58) = ( 187 x 58 ) / 10846

GCD(187, 58) = 10846 / 10846

GCD(187, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 187, 374, 58, 362 is 1

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1. What is the GCD of 187, 374, 58, 362?

GCD of 187, 374, 58, 362 is 1

2. Where do I get the detailed procedure to find GCD of 187, 374, 58, 362?

You can find a detailed procedure to find GCD of 187, 374, 58, 362 on our page.

3. How to find GCD of 187, 374, 58, 362 on a calculator?

You can find the GCD of 187, 374, 58, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.