GCD of 187, 962, 29, 209 Calculator

Given Input numbers are 187, 962, 29, 209

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 187, 962, 29, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 962, 29, 209 is 1.

Therefore, GCD of numbers 187, 962, 29, 209 is 1

Given Input Data is 187, 962, 29, 209

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 29 is 29

Prime Factorization of 209 is 11 x 19

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, 962) = 179894

GCD(187, 962) = ( 187 x 962 ) / 179894

GCD(187, 962) = 179894 / 179894

GCD(187, 962) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 187, 962, 29, 209 is 1

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1. What is the GCD of 187, 962, 29, 209?

GCD of 187, 962, 29, 209 is 1

2. Where do I get the detailed procedure to find GCD of 187, 962, 29, 209?

You can find a detailed procedure to find GCD of 187, 962, 29, 209 on our page.

3. How to find GCD of 187, 962, 29, 209 on a calculator?

You can find the GCD of 187, 962, 29, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.