GCD of 480, 576, 702, 809 Calculator

Given Input numbers are 480, 576, 702, 809

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

GCD of numbers is the greatest common divisor

So, the GCD (480, 576, 702, 809) = 1.

Given numbers are 480, 576, 702, 809

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 809 are 809

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

Given numbers are 480, 576, 702, 809

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

Apply this formula for all numbers.

Step1:

LCM(480, 576) = 2880

GCD(480, 576) = ( 480 x 576 ) / 2880

= 480 / 576

= 480

Step2:

LCM(96, 702) = 11232

GCD(96, 702) = ( 96 x 702 ) / 11232

= 96 / 702

= 96

Step3:

LCM(6, 809) = 4854

GCD(6, 809) = ( 6 x 809 ) / 4854

= 6 / 809

= 6

So, Greatest Common Divisor of 480, 576, 702, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 299, 594, 298
• GCD of 996, 860, 169, 517
• GCD of 573, 231, 733, 284
• GCD of 286, 961, 320, 642
• GCD of 999, 329, 715, 890

Given numbers are 480, 576, 702, 809
The greatest common divisor of numbers 480, 576, 702, 809 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 576, 702, 809 is 1.

1. What is the GCD of 480, 576, 702, 809?

GCD of given numbers 480, 576, 702, 809 is 1

2. How to calculate the greatest common divisor of 480, 576, 702, 809?

We can find the highest common divisor of 480, 576, 702, 809 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 480, 576, 702, 809 i.e 1.

3. How can I use the GCD of 480, 576, 702, 809Calculator?

Out the numbers 480, 576, 702, 809 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.