GCD of 580, 654, 380, 547 Calculator

Given Input numbers are 580, 654, 380, 547

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

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 580, 654, 380, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 654, 380, 547 is 1.

Therefore, GCD of numbers 580, 654, 380, 547 is 1

Given Input Data is 580, 654, 380, 547

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

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 547 is 547

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(580, 654) = 189660

GCD(580, 654) = ( 580 x 654 ) / 189660

GCD(580, 654) = 379320 / 189660

GCD(580, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

GCD of 580, 654, 380, 547 is 1

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1. What is the GCD of 580, 654, 380, 547?

GCD of 580, 654, 380, 547 is 1

2. Where do I get the detailed procedure to find GCD of 580, 654, 380, 547?

You can find a detailed procedure to find GCD of 580, 654, 380, 547 on our page.

3. How to find GCD of 580, 654, 380, 547 on a calculator?

You can find the GCD of 580, 654, 380, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.