GCD of 209, 465, 77, 187 Calculator

Given Input numbers are 209, 465, 77, 187

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 187

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

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 209, 465, 77, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 465, 77, 187 is 1.

Therefore, GCD of numbers 209, 465, 77, 187 is 1

Given Input Data is 209, 465, 77, 187

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 187 is 11 x 17

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(209, 465) = 97185

GCD(209, 465) = ( 209 x 465 ) / 97185

GCD(209, 465) = 97185 / 97185

GCD(209, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 209, 465, 77, 187 is 1

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1. What is the GCD of 209, 465, 77, 187?

GCD of 209, 465, 77, 187 is 1

2. Where do I get the detailed procedure to find GCD of 209, 465, 77, 187?

You can find a detailed procedure to find GCD of 209, 465, 77, 187 on our page.

3. How to find GCD of 209, 465, 77, 187 on a calculator?

You can find the GCD of 209, 465, 77, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.