GCD of 58, 712, 265, 255 Calculator

Given Input numbers are 58, 712, 265, 255

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 255

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

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

Greatest Common Divisior

We found the divisors of 58, 712, 265, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 712, 265, 255 is 1.

Therefore, GCD of numbers 58, 712, 265, 255 is 1

Given Input Data is 58, 712, 265, 255

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 265 is 5 x 53

Prime Factorization of 255 is 3 x 5 x 17

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(58, 712) = 20648

GCD(58, 712) = ( 58 x 712 ) / 20648

GCD(58, 712) = 41296 / 20648

GCD(58, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 58, 712, 265, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 872, 465, 860
• GCD of 68, 902, 419, 538
• GCD of 33, 392, 859, 710
• GCD of 91, 102, 490, 893
• GCD of 82, 934, 984, 148

1. What is the GCD of 58, 712, 265, 255?

GCD of 58, 712, 265, 255 is 1

2. Where do I get the detailed procedure to find GCD of 58, 712, 265, 255?

You can find a detailed procedure to find GCD of 58, 712, 265, 255 on our page.

3. How to find GCD of 58, 712, 265, 255 on a calculator?

You can find the GCD of 58, 712, 265, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.