GCD of 300, 565, 699, 557 Calculator

Given Input numbers are 300, 565, 699, 557

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 300, 565, 699, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 565, 699, 557 is 1.

Therefore, GCD of numbers 300, 565, 699, 557 is 1

Given Input Data is 300, 565, 699, 557

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 565 is 5 x 113

Prime Factorization of 699 is 3 x 233

Prime Factorization of 557 is 557

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(300, 565) = 33900

GCD(300, 565) = ( 300 x 565 ) / 33900

GCD(300, 565) = 169500 / 33900

GCD(300, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 699

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

LCM(5, 699) = 3495

GCD(5, 699) = ( 5 x 699 ) / 3495

GCD(5, 699) = 3495 / 3495

GCD(5, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 300, 565, 699, 557 is 1

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1. What is the GCD of 300, 565, 699, 557?

GCD of 300, 565, 699, 557 is 1

2. Where do I get the detailed procedure to find GCD of 300, 565, 699, 557?

You can find a detailed procedure to find GCD of 300, 565, 699, 557 on our page.

3. How to find GCD of 300, 565, 699, 557 on a calculator?

You can find the GCD of 300, 565, 699, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.