GCD of 255, 396, 726, 462 Calculator

Given Input numbers are 255, 396, 726, 462

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (255, 396, 726, 462) = 3.

Given numbers are 255, 396, 726, 462

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 255, 396, 726, 462 is 3.

Given numbers are 255, 396, 726, 462

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

Apply this formula for all numbers.

Step1:

LCM(255, 396) = 33660

GCD(255, 396) = ( 255 x 396 ) / 33660

= 255 / 396

= 255

Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 255, 396, 726, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 258, 654, 829
• GCD of 601, 402, 467, 776
• GCD of 220, 526, 558, 748
• GCD of 138, 389, 109, 429
• GCD of 973, 573, 280, 975

Given numbers are 255, 396, 726, 462
The greatest common divisor of numbers 255, 396, 726, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 396, 726, 462 is 3.

1. What is the GCD of 255, 396, 726, 462?

GCD of given numbers 255, 396, 726, 462 is 3

2. How to calculate the greatest common divisor of 255, 396, 726, 462?

We can find the highest common divisor of 255, 396, 726, 462 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, 396, 726, 462 i.e 3.

3. How can I use the GCD of 255, 396, 726, 462Calculator?

Out the numbers 255, 396, 726, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.