GCD of 123, 577, 269, 566 Calculator

Given Input numbers are 123, 577, 269, 566

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 123, 577, 269, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 577, 269, 566 is 1.

Therefore, GCD of numbers 123, 577, 269, 566 is 1

Given Input Data is 123, 577, 269, 566

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 577 is 577

Prime Factorization of 269 is 269

Prime Factorization of 566 is 2 x 283

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(123, 577) = 70971

GCD(123, 577) = ( 123 x 577 ) / 70971

GCD(123, 577) = 70971 / 70971

GCD(123, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 123, 577, 269, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 486, 309, 147
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• GCD of 171, 537, 206, 286

1. What is the GCD of 123, 577, 269, 566?

GCD of 123, 577, 269, 566 is 1

2. Where do I get the detailed procedure to find GCD of 123, 577, 269, 566?

You can find a detailed procedure to find GCD of 123, 577, 269, 566 on our page.

3. How to find GCD of 123, 577, 269, 566 on a calculator?

You can find the GCD of 123, 577, 269, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.