GCD of 361, 973, 123 Calculator

Given Input numbers are 361, 973, 123

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

Divisors of 361

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

1, 19, 361

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 361, 973, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 973, 123 is 1.

Therefore, GCD of numbers 361, 973, 123 is 1

Given Input Data is 361, 973, 123

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 973 is 7 x 139

Prime Factorization of 123 is 3 x 41

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(361, 973) = 351253

GCD(361, 973) = ( 361 x 973 ) / 351253

GCD(361, 973) = 351253 / 351253

GCD(361, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 361, 973, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 122, 713
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• GCD of 698, 516, 428
• GCD of 186, 103, 214
• GCD of 675, 392, 440

1. What is the GCD of 361, 973, 123?

GCD of 361, 973, 123 is 1

2. Where do I get the detailed procedure to find GCD of 361, 973, 123?

You can find a detailed procedure to find GCD of 361, 973, 123 on our page.

3. How to find GCD of 361, 973, 123 on a calculator?

You can find the GCD of 361, 973, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.