GCD of 375, 255, 564, 469 Calculator

Given Input numbers are 375, 255, 564, 469

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

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 375, 255, 564, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 255, 564, 469 is 1.

Therefore, GCD of numbers 375, 255, 564, 469 is 1

Given Input Data is 375, 255, 564, 469

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

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 469 is 7 x 67

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(375, 255) = 6375

GCD(375, 255) = ( 375 x 255 ) / 6375

GCD(375, 255) = 95625 / 6375

GCD(375, 255) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 564

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

LCM(15, 564) = 2820

GCD(15, 564) = ( 15 x 564 ) / 2820

GCD(15, 564) = 8460 / 2820

GCD(15, 564) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 469

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

LCM(3, 469) = 1407

GCD(3, 469) = ( 3 x 469 ) / 1407

GCD(3, 469) = 1407 / 1407

GCD(3, 469) = 1

GCD of 375, 255, 564, 469 is 1

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1. What is the GCD of 375, 255, 564, 469?

GCD of 375, 255, 564, 469 is 1

2. Where do I get the detailed procedure to find GCD of 375, 255, 564, 469?

You can find a detailed procedure to find GCD of 375, 255, 564, 469 on our page.

3. How to find GCD of 375, 255, 564, 469 on a calculator?

You can find the GCD of 375, 255, 564, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.