GCD of 720, 228, 586, 420 Calculator

Given Input numbers are 720, 228, 586, 420

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (720, 228, 586, 420) = 2.

Given numbers are 720, 228, 586, 420

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 586 are 2 x 293

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 720, 228, 586, 420 is 2.

Given numbers are 720, 228, 586, 420

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

Apply this formula for all numbers.

Step1:

LCM(720, 228) = 13680

GCD(720, 228) = ( 720 x 228 ) / 13680

= 720 / 228

= 720

Step2:

LCM(12, 586) = 3516

GCD(12, 586) = ( 12 x 586 ) / 3516

= 12 / 586

= 12

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 720, 228, 586, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 881, 378, 594
• GCD of 378, 418, 160, 321
• GCD of 713, 479, 583, 394
• GCD of 944, 486, 369, 519
• GCD of 244, 140, 133, 796

Given numbers are 720, 228, 586, 420
The greatest common divisor of numbers 720, 228, 586, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 228, 586, 420 is 2.

1. What is the GCD of 720, 228, 586, 420?

GCD of given numbers 720, 228, 586, 420 is 2

2. How to calculate the greatest common divisor of 720, 228, 586, 420?

We can find the highest common divisor of 720, 228, 586, 420 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 720, 228, 586, 420 i.e 2.

3. How can I use the GCD of 720, 228, 586, 420Calculator?

Out the numbers 720, 228, 586, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.