GCD of 361, 546, 916, 580 Calculator

Given Input numbers are 361, 546, 916, 580

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 361, 546, 916, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 546, 916, 580 is 1.

Therefore, GCD of numbers 361, 546, 916, 580 is 1

Given Input Data is 361, 546, 916, 580

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 580 is 2 x 2 x 5 x 29

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, 546) = 197106

GCD(361, 546) = ( 361 x 546 ) / 197106

GCD(361, 546) = 197106 / 197106

GCD(361, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 361, 546, 916, 580 is 1

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1. What is the GCD of 361, 546, 916, 580?

GCD of 361, 546, 916, 580 is 1

2. Where do I get the detailed procedure to find GCD of 361, 546, 916, 580?

You can find a detailed procedure to find GCD of 361, 546, 916, 580 on our page.

3. How to find GCD of 361, 546, 916, 580 on a calculator?

You can find the GCD of 361, 546, 916, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.