GCD of 576, 420, 508, 444 Calculator

Given Input numbers are 576, 420, 508, 444

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

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 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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (576, 420, 508, 444) = 4.

Given numbers are 576, 420, 508, 444

The list of prime factors of all numbers are

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

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 2²

Therefore, GCD of 576, 420, 508, 444 is 4.

Given numbers are 576, 420, 508, 444

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

Apply this formula for all numbers.

Step1:

LCM(576, 420) = 20160

GCD(576, 420) = ( 576 x 420 ) / 20160

= 576 / 420

= 576

Step2:

LCM(12, 508) = 1524

GCD(12, 508) = ( 12 x 508 ) / 1524

= 12 / 508

= 12

Step3:

LCM(4, 444) = 444

GCD(4, 444) = ( 4 x 444 ) / 444

= 4 / 444

= 4

So, Greatest Common Divisor of 576, 420, 508, 444 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 399, 797, 260
• GCD of 666, 907, 865, 530
• GCD of 131, 171, 309, 598
• GCD of 571, 647, 457, 149
• GCD of 545, 866, 713, 888

Given numbers are 576, 420, 508, 444
The greatest common divisor of numbers 576, 420, 508, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 420, 508, 444 is 4.

1. What is the GCD of 576, 420, 508, 444?

GCD of given numbers 576, 420, 508, 444 is 4

2. How to calculate the greatest common divisor of 576, 420, 508, 444?

We can find the highest common divisor of 576, 420, 508, 444 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 576, 420, 508, 444 i.e 4.

3. How can I use the GCD of 576, 420, 508, 444Calculator?

Out the numbers 576, 420, 508, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.