GCD of 513, 243, 728, 722 Calculator

Given Input numbers are 513, 243, 728, 722

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (513, 243, 728, 722) = 1.

Given numbers are 513, 243, 728, 722

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 513, 243, 728, 722

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

Apply this formula for all numbers.

Step1:

LCM(513, 243) = 4617

GCD(513, 243) = ( 513 x 243 ) / 4617

= 513 / 243

= 513

Step2:

LCM(27, 728) = 19656

GCD(27, 728) = ( 27 x 728 ) / 19656

= 27 / 728

= 27

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 513, 243, 728, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 917, 282, 269
• GCD of 957, 210, 809, 826
• GCD of 181, 529, 627, 718
• GCD of 141, 888, 922, 689
• GCD of 227, 901, 545, 238

Given numbers are 513, 243, 728, 722
The greatest common divisor of numbers 513, 243, 728, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 243, 728, 722 is 1.

1. What is the GCD of 513, 243, 728, 722?

GCD of given numbers 513, 243, 728, 722 is 1

2. How to calculate the greatest common divisor of 513, 243, 728, 722?

We can find the highest common divisor of 513, 243, 728, 722 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 513, 243, 728, 722 i.e 1.

3. How can I use the GCD of 513, 243, 728, 722Calculator?

Out the numbers 513, 243, 728, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.