GCD of 215, 185, 97, 109 Calculator

Given Input numbers are 215, 185, 97, 109

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 215, 185, 97, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 185, 97, 109 is 1.

Therefore, GCD of numbers 215, 185, 97, 109 is 1

Given Input Data is 215, 185, 97, 109

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 185 is 5 x 37

Prime Factorization of 97 is 97

Prime Factorization of 109 is 109

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(215, 185) = 7955

GCD(215, 185) = ( 215 x 185 ) / 7955

GCD(215, 185) = 39775 / 7955

GCD(215, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 97

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

LCM(5, 97) = 485

GCD(5, 97) = ( 5 x 97 ) / 485

GCD(5, 97) = 485 / 485

GCD(5, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 215, 185, 97, 109 is 1

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1. What is the GCD of 215, 185, 97, 109?

GCD of 215, 185, 97, 109 is 1

2. Where do I get the detailed procedure to find GCD of 215, 185, 97, 109?

You can find a detailed procedure to find GCD of 215, 185, 97, 109 on our page.

3. How to find GCD of 215, 185, 97, 109 on a calculator?

You can find the GCD of 215, 185, 97, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.