GCD of 420, 228, 576, 966 Calculator

Given Input numbers are 420, 228, 576, 966

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

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 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 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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (420, 228, 576, 966) = 6.

Given numbers are 420, 228, 576, 966

The list of prime factors of all numbers are

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

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

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

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 420, 228, 576, 966 is 6.

Given numbers are 420, 228, 576, 966

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

Apply this formula for all numbers.

Step1:

LCM(420, 228) = 7980

GCD(420, 228) = ( 420 x 228 ) / 7980

= 420 / 228

= 420

Step2:

LCM(12, 576) = 576

GCD(12, 576) = ( 12 x 576 ) / 576

= 12 / 576

= 12

Step3:

LCM(12, 966) = 1932

GCD(12, 966) = ( 12 x 966 ) / 1932

= 12 / 966

= 12

So, Greatest Common Divisor of 420, 228, 576, 966 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 147, 976, 270
• GCD of 100, 527, 438, 758
• GCD of 650, 507, 238, 816
• GCD of 702, 275, 152, 317
• GCD of 972, 778, 370, 248

Given numbers are 420, 228, 576, 966
The greatest common divisor of numbers 420, 228, 576, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 228, 576, 966 is 6.

1. What is the GCD of 420, 228, 576, 966?

GCD of given numbers 420, 228, 576, 966 is 6

2. How to calculate the greatest common divisor of 420, 228, 576, 966?

We can find the highest common divisor of 420, 228, 576, 966 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 420, 228, 576, 966 i.e 6.

3. How can I use the GCD of 420, 228, 576, 966Calculator?

Out the numbers 420, 228, 576, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.