GCD of 198, 580, 816, 744 Calculator

Given Input numbers are 198, 580, 816, 744

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (198, 580, 816, 744) = 2.

Given numbers are 198, 580, 816, 744

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 198, 580, 816, 744 is 2.

Given numbers are 198, 580, 816, 744

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

Apply this formula for all numbers.

Step1:

LCM(198, 580) = 57420

GCD(198, 580) = ( 198 x 580 ) / 57420

= 198 / 580

= 198

Step2:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 198, 580, 816, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 897, 756, 513
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Given numbers are 198, 580, 816, 744
The greatest common divisor of numbers 198, 580, 816, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 580, 816, 744 is 2.

1. What is the GCD of 198, 580, 816, 744?

GCD of given numbers 198, 580, 816, 744 is 2

2. How to calculate the greatest common divisor of 198, 580, 816, 744?

We can find the highest common divisor of 198, 580, 816, 744 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 198, 580, 816, 744 i.e 2.

3. How can I use the GCD of 198, 580, 816, 744Calculator?

Out the numbers 198, 580, 816, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.