GCD of 567, 471, 960, 216 Calculator

Given Input numbers are 567, 471, 960, 216

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (567, 471, 960, 216) = 3.

Given numbers are 567, 471, 960, 216

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 471 are 3 x 157

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 567, 471, 960, 216 is 3.

Given numbers are 567, 471, 960, 216

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

Apply this formula for all numbers.

Step1:

LCM(567, 471) = 89019

GCD(567, 471) = ( 567 x 471 ) / 89019

= 567 / 471

= 567

Step2:

LCM(3, 960) = 960

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

= 3 / 960

= 3

Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

So, Greatest Common Divisor of 567, 471, 960, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 237, 561, 359
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Given numbers are 567, 471, 960, 216
The greatest common divisor of numbers 567, 471, 960, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 471, 960, 216 is 3.

1. What is the GCD of 567, 471, 960, 216?

GCD of given numbers 567, 471, 960, 216 is 3

2. How to calculate the greatest common divisor of 567, 471, 960, 216?

We can find the highest common divisor of 567, 471, 960, 216 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 567, 471, 960, 216 i.e 3.

3. How can I use the GCD of 567, 471, 960, 216Calculator?

Out the numbers 567, 471, 960, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.