GCD of 279, 480, 320, 726 Calculator

Given Input numbers are 279, 480, 320, 726

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (279, 480, 320, 726) = 1.

Given numbers are 279, 480, 320, 726

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 726 are 2 x 3 x 11 x 11

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

Given numbers are 279, 480, 320, 726

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

Apply this formula for all numbers.

Step1:

LCM(279, 480) = 44640

GCD(279, 480) = ( 279 x 480 ) / 44640

= 279 / 480

= 279

Step2:

LCM(3, 320) = 960

GCD(3, 320) = ( 3 x 320 ) / 960

= 3 / 320

= 3

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 279, 480, 320, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 516, 643, 741
• GCD of 504, 213, 167, 126
• GCD of 923, 531, 791, 950
• GCD of 378, 693, 150, 367
• GCD of 686, 693, 319, 413

Given numbers are 279, 480, 320, 726
The greatest common divisor of numbers 279, 480, 320, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 480, 320, 726 is 1.

1. What is the GCD of 279, 480, 320, 726?

GCD of given numbers 279, 480, 320, 726 is 1

2. How to calculate the greatest common divisor of 279, 480, 320, 726?

We can find the highest common divisor of 279, 480, 320, 726 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 279, 480, 320, 726 i.e 1.

3. How can I use the GCD of 279, 480, 320, 726Calculator?

Out the numbers 279, 480, 320, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.