GCD of 728, 664, 503, 523 Calculator

Given Input numbers are 728, 664, 503, 523

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (728, 664, 503, 523) = 1.

Given numbers are 728, 664, 503, 523

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 664 are 2 x 2 x 2 x 83

Prime factors of 503 are 503

Prime factors of 523 are 523

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

Given numbers are 728, 664, 503, 523

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

Apply this formula for all numbers.

Step1:

LCM(728, 664) = 60424

GCD(728, 664) = ( 728 x 664 ) / 60424

= 728 / 664

= 728

Step2:

LCM(8, 503) = 4024

GCD(8, 503) = ( 8 x 503 ) / 4024

= 8 / 503

= 8

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 728, 664, 503, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 236, 901, 958
• GCD of 940, 224, 449, 377
• GCD of 388, 304, 833, 534
• GCD of 112, 963, 145, 794
• GCD of 369, 627, 494, 139

Given numbers are 728, 664, 503, 523
The greatest common divisor of numbers 728, 664, 503, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 664, 503, 523 is 1.

1. What is the GCD of 728, 664, 503, 523?

GCD of given numbers 728, 664, 503, 523 is 1

2. How to calculate the greatest common divisor of 728, 664, 503, 523?

We can find the highest common divisor of 728, 664, 503, 523 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, 664, 503, 523 i.e 1.

3. How can I use the GCD of 728, 664, 503, 523Calculator?

Out the numbers 728, 664, 503, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.