GCD of 648, 520, 728, 319 Calculator

Given Input numbers are 648, 520, 728, 319

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

GCD of numbers is the greatest common divisor

So, the GCD (648, 520, 728, 319) = 1.

Given numbers are 648, 520, 728, 319

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Prime factors of 319 are 11 x 29

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

Given numbers are 648, 520, 728, 319

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

Apply this formula for all numbers.

Step1:

LCM(648, 520) = 42120

GCD(648, 520) = ( 648 x 520 ) / 42120

= 648 / 520

= 648

Step2:

LCM(8, 728) = 728

GCD(8, 728) = ( 8 x 728 ) / 728

= 8 / 728

= 8

Step3:

LCM(8, 319) = 2552

GCD(8, 319) = ( 8 x 319 ) / 2552

= 8 / 319

= 8

So, Greatest Common Divisor of 648, 520, 728, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 197, 904, 820
• GCD of 922, 362, 425, 294
• GCD of 868, 397, 339, 526
• GCD of 466, 645, 227, 489
• GCD of 798, 654, 190, 425

Given numbers are 648, 520, 728, 319
The greatest common divisor of numbers 648, 520, 728, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 520, 728, 319 is 1.

1. What is the GCD of 648, 520, 728, 319?

GCD of given numbers 648, 520, 728, 319 is 1

2. How to calculate the greatest common divisor of 648, 520, 728, 319?

We can find the highest common divisor of 648, 520, 728, 319 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 648, 520, 728, 319 i.e 1.

3. How can I use the GCD of 648, 520, 728, 319Calculator?

Out the numbers 648, 520, 728, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.