GCD of 212, 978, 216, 288 Calculator

Given Input numbers are 212, 978, 216, 288

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (212, 978, 216, 288) = 2.

Given numbers are 212, 978, 216, 288

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 212, 978, 216, 288 is 2.

Given numbers are 212, 978, 216, 288

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

Apply this formula for all numbers.

Step1:

LCM(212, 978) = 103668

GCD(212, 978) = ( 212 x 978 ) / 103668

= 212 / 978

= 212

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 212, 978, 216, 288 is 2

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Given numbers are 212, 978, 216, 288
The greatest common divisor of numbers 212, 978, 216, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 978, 216, 288 is 2.

1. What is the GCD of 212, 978, 216, 288?

GCD of given numbers 212, 978, 216, 288 is 2

2. How to calculate the greatest common divisor of 212, 978, 216, 288?

We can find the highest common divisor of 212, 978, 216, 288 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 212, 978, 216, 288 i.e 2.

3. How can I use the GCD of 212, 978, 216, 288Calculator?

Out the numbers 212, 978, 216, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.