GCD of 255, 272, 391, 727 Calculator

Given Input numbers are 255, 272, 391, 727

In the factoring method, we have to find the divisors of all numbers

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

GCD of numbers is the greatest common divisor

So, the GCD (255, 272, 391, 727) = 1.

Given numbers are 255, 272, 391, 727

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 391 are 17 x 23

Prime factors of 727 are 727

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 255, 272, 391, 727

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(255, 272) = 4080

GCD(255, 272) = ( 255 x 272 ) / 4080

= 255 / 272

= 255

Step2:

LCM(17, 391) = 391

GCD(17, 391) = ( 17 x 391 ) / 391

= 17 / 391

= 17

Step3:

LCM(17, 727) = 12359

GCD(17, 727) = ( 17 x 727 ) / 12359

= 17 / 727

= 17

So, Greatest Common Divisor of 255, 272, 391, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 793, 312, 839
• GCD of 425, 418, 878, 350
• GCD of 894, 440, 776, 216
• GCD of 207, 329, 534, 433
• GCD of 251, 758, 782, 124

Given numbers are 255, 272, 391, 727
The greatest common divisor of numbers 255, 272, 391, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 272, 391, 727 is 1.

1. What is the GCD of 255, 272, 391, 727?

GCD of given numbers 255, 272, 391, 727 is 1

2. How to calculate the greatest common divisor of 255, 272, 391, 727?

We can find the highest common divisor of 255, 272, 391, 727 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 255, 272, 391, 727 i.e 1.

3. How can I use the GCD of 255, 272, 391, 727Calculator?

Out the numbers 255, 272, 391, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.