GCD of 361, 680, 923, 363 Calculator

Given Input numbers are 361, 680, 923, 363

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 361, 680, 923, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 680, 923, 363 is 1.

Therefore, GCD of numbers 361, 680, 923, 363 is 1

Given Input Data is 361, 680, 923, 363

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 923 is 13 x 71

Prime Factorization of 363 is 3 x 11 x 11

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, 680) = 245480

GCD(361, 680) = ( 361 x 680 ) / 245480

GCD(361, 680) = 245480 / 245480

GCD(361, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 361, 680, 923, 363 is 1

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• GCD of 587, 555, 366, 714
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1. What is the GCD of 361, 680, 923, 363?

GCD of 361, 680, 923, 363 is 1

2. Where do I get the detailed procedure to find GCD of 361, 680, 923, 363?

You can find a detailed procedure to find GCD of 361, 680, 923, 363 on our page.

3. How to find GCD of 361, 680, 923, 363 on a calculator?

You can find the GCD of 361, 680, 923, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.