GCD of 565, 280, 85, 357 Calculator

Given Input numbers are 565, 280, 85, 357

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

Divisors of 565

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

1, 5, 113, 565

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 565, 280, 85, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 280, 85, 357 is 1.

Therefore, GCD of numbers 565, 280, 85, 357 is 1

Given Input Data is 565, 280, 85, 357

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 357 is 3 x 7 x 17

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(565, 280) = 31640

GCD(565, 280) = ( 565 x 280 ) / 31640

GCD(565, 280) = 158200 / 31640

GCD(565, 280) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 85

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

LCM(5, 85) = 85

GCD(5, 85) = ( 5 x 85 ) / 85

GCD(5, 85) = 425 / 85

GCD(5, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 357

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

LCM(5, 357) = 1785

GCD(5, 357) = ( 5 x 357 ) / 1785

GCD(5, 357) = 1785 / 1785

GCD(5, 357) = 1

GCD of 565, 280, 85, 357 is 1

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• GCD of 266, 287, 55, 626
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1. What is the GCD of 565, 280, 85, 357?

GCD of 565, 280, 85, 357 is 1

2. Where do I get the detailed procedure to find GCD of 565, 280, 85, 357?

You can find a detailed procedure to find GCD of 565, 280, 85, 357 on our page.

3. How to find GCD of 565, 280, 85, 357 on a calculator?

You can find the GCD of 565, 280, 85, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.