GCD of 565, 375, 517, 388 Calculator

Given Input numbers are 565, 375, 517, 388

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 565, 375, 517, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 375, 517, 388 is 1.

Therefore, GCD of numbers 565, 375, 517, 388 is 1

Given Input Data is 565, 375, 517, 388

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 517 is 11 x 47

Prime Factorization of 388 is 2 x 2 x 97

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, 375) = 42375

GCD(565, 375) = ( 565 x 375 ) / 42375

GCD(565, 375) = 211875 / 42375

GCD(565, 375) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 517

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

LCM(5, 517) = 2585

GCD(5, 517) = ( 5 x 517 ) / 2585

GCD(5, 517) = 2585 / 2585

GCD(5, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 565, 375, 517, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 842, 733, 776
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• GCD of 860, 480, 937, 227
• GCD of 180, 884, 783, 954
• GCD of 374, 728, 392, 750

1. What is the GCD of 565, 375, 517, 388?

GCD of 565, 375, 517, 388 is 1

2. Where do I get the detailed procedure to find GCD of 565, 375, 517, 388?

You can find a detailed procedure to find GCD of 565, 375, 517, 388 on our page.

3. How to find GCD of 565, 375, 517, 388 on a calculator?

You can find the GCD of 565, 375, 517, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.