GCD of 295, 255, 56, 369 Calculator

Given Input numbers are 295, 255, 56, 369

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 295, 255, 56, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 255, 56, 369 is 1.

Therefore, GCD of numbers 295, 255, 56, 369 is 1

Given Input Data is 295, 255, 56, 369

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 369 is 3 x 3 x 41

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(295, 255) = 15045

GCD(295, 255) = ( 295 x 255 ) / 15045

GCD(295, 255) = 75225 / 15045

GCD(295, 255) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 295, 255, 56, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 561, 82, 953
• GCD of 629, 846, 18, 145
• GCD of 156, 521, 41, 804
• GCD of 256, 803, 34, 839
• GCD of 858, 516, 74, 503

1. What is the GCD of 295, 255, 56, 369?

GCD of 295, 255, 56, 369 is 1

2. Where do I get the detailed procedure to find GCD of 295, 255, 56, 369?

You can find a detailed procedure to find GCD of 295, 255, 56, 369 on our page.

3. How to find GCD of 295, 255, 56, 369 on a calculator?

You can find the GCD of 295, 255, 56, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.