GCD of 890, 255, 278, 564 Calculator

Given Input numbers are 890, 255, 278, 564

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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

Greatest Common Divisior

We found the divisors of 890, 255, 278, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 255, 278, 564 is 1.

Therefore, GCD of numbers 890, 255, 278, 564 is 1

Given Input Data is 890, 255, 278, 564

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 278 is 2 x 139

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

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(890, 255) = 45390

GCD(890, 255) = ( 890 x 255 ) / 45390

GCD(890, 255) = 226950 / 45390

GCD(890, 255) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 278

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

LCM(5, 278) = 1390

GCD(5, 278) = ( 5 x 278 ) / 1390

GCD(5, 278) = 1390 / 1390

GCD(5, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 890, 255, 278, 564 is 1

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1. What is the GCD of 890, 255, 278, 564?

GCD of 890, 255, 278, 564 is 1

2. Where do I get the detailed procedure to find GCD of 890, 255, 278, 564?

You can find a detailed procedure to find GCD of 890, 255, 278, 564 on our page.

3. How to find GCD of 890, 255, 278, 564 on a calculator?

You can find the GCD of 890, 255, 278, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.