GCD of 255, 385, 741, 628 Calculator

Given Input numbers are 255, 385, 741, 628

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

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 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 255, 385, 741, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 385, 741, 628 is 1.

Therefore, GCD of numbers 255, 385, 741, 628 is 1

Given Input Data is 255, 385, 741, 628

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 628 is 2 x 2 x 157

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(255, 385) = 19635

GCD(255, 385) = ( 255 x 385 ) / 19635

GCD(255, 385) = 98175 / 19635

GCD(255, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 741

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

LCM(5, 741) = 3705

GCD(5, 741) = ( 5 x 741 ) / 3705

GCD(5, 741) = 3705 / 3705

GCD(5, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 255, 385, 741, 628 is 1

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1. What is the GCD of 255, 385, 741, 628?

GCD of 255, 385, 741, 628 is 1

2. Where do I get the detailed procedure to find GCD of 255, 385, 741, 628?

You can find a detailed procedure to find GCD of 255, 385, 741, 628 on our page.

3. How to find GCD of 255, 385, 741, 628 on a calculator?

You can find the GCD of 255, 385, 741, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.