GCD of 728, 364, 782, 521 Calculator

Given Input numbers are 728, 364, 782, 521

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

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (728, 364, 782, 521) = 1.

Given numbers are 728, 364, 782, 521

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 782 are 2 x 17 x 23

Prime factors of 521 are 521

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

Given numbers are 728, 364, 782, 521

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

Apply this formula for all numbers.

Step1:

LCM(728, 364) = 728

GCD(728, 364) = ( 728 x 364 ) / 728

= 728 / 364

= 728

Step2:

LCM(364, 782) = 142324

GCD(364, 782) = ( 364 x 782 ) / 142324

= 364 / 782

= 364

Step3:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2

So, Greatest Common Divisor of 728, 364, 782, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 751, 959, 304
• GCD of 117, 632, 635, 439
• GCD of 881, 503, 131, 966
• GCD of 985, 676, 373, 533
• GCD of 523, 800, 206, 694

Given numbers are 728, 364, 782, 521
The greatest common divisor of numbers 728, 364, 782, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 364, 782, 521 is 1.

1. What is the GCD of 728, 364, 782, 521?

GCD of given numbers 728, 364, 782, 521 is 1

2. How to calculate the greatest common divisor of 728, 364, 782, 521?

We can find the highest common divisor of 728, 364, 782, 521 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 728, 364, 782, 521 i.e 1.

3. How can I use the GCD of 728, 364, 782, 521Calculator?

Out the numbers 728, 364, 782, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.