GCD of 655, 600, 785, 547 Calculator

Given Input numbers are 655, 600, 785, 547

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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 655, 600, 785, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 600, 785, 547 is 1.

Therefore, GCD of numbers 655, 600, 785, 547 is 1

Given Input Data is 655, 600, 785, 547

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 785 is 5 x 157

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(655, 600) = 78600

GCD(655, 600) = ( 655 x 600 ) / 78600

GCD(655, 600) = 393000 / 78600

GCD(655, 600) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 785

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

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

GCD(5, 785) = 3925 / 785

GCD(5, 785) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 547

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

LCM(5, 547) = 2735

GCD(5, 547) = ( 5 x 547 ) / 2735

GCD(5, 547) = 2735 / 2735

GCD(5, 547) = 1

GCD of 655, 600, 785, 547 is 1

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1. What is the GCD of 655, 600, 785, 547?

GCD of 655, 600, 785, 547 is 1

2. Where do I get the detailed procedure to find GCD of 655, 600, 785, 547?

You can find a detailed procedure to find GCD of 655, 600, 785, 547 on our page.

3. How to find GCD of 655, 600, 785, 547 on a calculator?

You can find the GCD of 655, 600, 785, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.