GCD of 289, 623, 77, 461 Calculator

Given Input numbers are 289, 623, 77, 461

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 77

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

1, 7, 11, 77

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 289, 623, 77, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 623, 77, 461 is 1.

Therefore, GCD of numbers 289, 623, 77, 461 is 1

Given Input Data is 289, 623, 77, 461

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 623 is 7 x 89

Prime Factorization of 77 is 7 x 11

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(289, 623) = 180047

GCD(289, 623) = ( 289 x 623 ) / 180047

GCD(289, 623) = 180047 / 180047

GCD(289, 623) = 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 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 289, 623, 77, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 110, 21, 817
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• GCD of 409, 536, 10, 442

1. What is the GCD of 289, 623, 77, 461?

GCD of 289, 623, 77, 461 is 1

2. Where do I get the detailed procedure to find GCD of 289, 623, 77, 461?

You can find a detailed procedure to find GCD of 289, 623, 77, 461 on our page.

3. How to find GCD of 289, 623, 77, 461 on a calculator?

You can find the GCD of 289, 623, 77, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.