GCD of 988, 216, 578, 232 Calculator

Given Input numbers are 988, 216, 578, 232

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (988, 216, 578, 232) = 2.

Given numbers are 988, 216, 578, 232

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

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

Prime factors of 578 are 2 x 17 x 17

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 988, 216, 578, 232 is 2.

Given numbers are 988, 216, 578, 232

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

Apply this formula for all numbers.

Step1:

LCM(988, 216) = 53352

GCD(988, 216) = ( 988 x 216 ) / 53352

= 988 / 216

= 988

Step2:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 988, 216, 578, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 596, 255, 902
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• GCD of 106, 989, 908, 282
• GCD of 817, 721, 813, 167
• GCD of 649, 986, 384, 357

Given numbers are 988, 216, 578, 232
The greatest common divisor of numbers 988, 216, 578, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 216, 578, 232 is 2.

1. What is the GCD of 988, 216, 578, 232?

GCD of given numbers 988, 216, 578, 232 is 2

2. How to calculate the greatest common divisor of 988, 216, 578, 232?

We can find the highest common divisor of 988, 216, 578, 232 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 988, 216, 578, 232 i.e 2.

3. How can I use the GCD of 988, 216, 578, 232Calculator?

Out the numbers 988, 216, 578, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.