GCD of 123, 361, 57, 387 Calculator

Given Input numbers are 123, 361, 57, 387

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 123, 361, 57, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 361, 57, 387 is 1.

Therefore, GCD of numbers 123, 361, 57, 387 is 1

Given Input Data is 123, 361, 57, 387

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 361 is 19 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 387 is 3 x 3 x 43

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, 361) = 44403

GCD(123, 361) = ( 123 x 361 ) / 44403

GCD(123, 361) = 44403 / 44403

GCD(123, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 123, 361, 57, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 807, 26, 435
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• GCD of 381, 380, 17, 668
• GCD of 753, 328, 92, 932
• GCD of 699, 709, 68, 446

1. What is the GCD of 123, 361, 57, 387?

GCD of 123, 361, 57, 387 is 1

2. Where do I get the detailed procedure to find GCD of 123, 361, 57, 387?

You can find a detailed procedure to find GCD of 123, 361, 57, 387 on our page.

3. How to find GCD of 123, 361, 57, 387 on a calculator?

You can find the GCD of 123, 361, 57, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.