GCD of 168, 205, 89, 461 Calculator

Given Input numbers are 168, 205, 89, 461

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 168, 205, 89, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 205, 89, 461 is 1.

Therefore, GCD of numbers 168, 205, 89, 461 is 1

Given Input Data is 168, 205, 89, 461

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 205 is 5 x 41

Prime Factorization of 89 is 89

Prime Factorization of 461 is 461

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(168, 205) = 34440

GCD(168, 205) = ( 168 x 205 ) / 34440

GCD(168, 205) = 34440 / 34440

GCD(168, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 168, 205, 89, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 280, 33, 991
• GCD of 118, 707, 89, 274
• GCD of 821, 388, 90, 376
• GCD of 505, 310, 83, 361
• GCD of 233, 407, 13, 248

1. What is the GCD of 168, 205, 89, 461?

GCD of 168, 205, 89, 461 is 1

2. Where do I get the detailed procedure to find GCD of 168, 205, 89, 461?

You can find a detailed procedure to find GCD of 168, 205, 89, 461 on our page.

3. How to find GCD of 168, 205, 89, 461 on a calculator?

You can find the GCD of 168, 205, 89, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.