GCD of 227, 196, 15, 362 Calculator

Given Input numbers are 227, 196, 15, 362

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 227, 196, 15, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 196, 15, 362 is 1.

Therefore, GCD of numbers 227, 196, 15, 362 is 1

Given Input Data is 227, 196, 15, 362

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

Prime Factorization of 227 is 227

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 15 is 3 x 5

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(227, 196) = 44492

GCD(227, 196) = ( 227 x 196 ) / 44492

GCD(227, 196) = 44492 / 44492

GCD(227, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 227, 196, 15, 362 is 1

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1. What is the GCD of 227, 196, 15, 362?

GCD of 227, 196, 15, 362 is 1

2. Where do I get the detailed procedure to find GCD of 227, 196, 15, 362?

You can find a detailed procedure to find GCD of 227, 196, 15, 362 on our page.

3. How to find GCD of 227, 196, 15, 362 on a calculator?

You can find the GCD of 227, 196, 15, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.