GCD of 355, 561, 612, 728 Calculator

Given Input numbers are 355, 561, 612, 728

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (355, 561, 612, 728) = 1.

Given numbers are 355, 561, 612, 728

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 561 are 3 x 11 x 17

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 355, 561, 612, 728

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

Apply this formula for all numbers.

Step1:

LCM(355, 561) = 199155

GCD(355, 561) = ( 355 x 561 ) / 199155

= 355 / 561

= 355

Step2:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 355, 561, 612, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 940, 443, 456
• GCD of 642, 683, 629, 608
• GCD of 693, 555, 262, 151
• GCD of 529, 356, 737, 696
• GCD of 284, 164, 587, 245

Given numbers are 355, 561, 612, 728
The greatest common divisor of numbers 355, 561, 612, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 561, 612, 728 is 1.

1. What is the GCD of 355, 561, 612, 728?

GCD of given numbers 355, 561, 612, 728 is 1

2. How to calculate the greatest common divisor of 355, 561, 612, 728?

We can find the highest common divisor of 355, 561, 612, 728 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 355, 561, 612, 728 i.e 1.

3. How can I use the GCD of 355, 561, 612, 728Calculator?

Out the numbers 355, 561, 612, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.