GCD of 438, 608, 986, 576 Calculator

Given Input numbers are 438, 608, 986, 576

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 608, 986, 576) = 2.

Given numbers are 438, 608, 986, 576

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 986 are 2 x 17 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 438, 608, 986, 576 is 2.

Given numbers are 438, 608, 986, 576

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

Apply this formula for all numbers.

Step1:

LCM(438, 608) = 133152

GCD(438, 608) = ( 438 x 608 ) / 133152

= 438 / 608

= 438

Step2:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

So, Greatest Common Divisor of 438, 608, 986, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 327, 511, 202
• GCD of 720, 527, 662, 523
• GCD of 244, 536, 610, 481
• GCD of 729, 928, 853, 314
• GCD of 254, 970, 722, 364

Given numbers are 438, 608, 986, 576
The greatest common divisor of numbers 438, 608, 986, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 608, 986, 576 is 2.

1. What is the GCD of 438, 608, 986, 576?

GCD of given numbers 438, 608, 986, 576 is 2

2. How to calculate the greatest common divisor of 438, 608, 986, 576?

We can find the highest common divisor of 438, 608, 986, 576 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 438, 608, 986, 576 i.e 2.

3. How can I use the GCD of 438, 608, 986, 576Calculator?

Out the numbers 438, 608, 986, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.