GCD of 522, 576, 398, 672 Calculator

Given Input numbers are 522, 576, 398, 672

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (522, 576, 398, 672) = 2.

Given numbers are 522, 576, 398, 672

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

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

Prime factors of 398 are 2 x 199

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 522, 576, 398, 672 is 2.

Given numbers are 522, 576, 398, 672

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

Apply this formula for all numbers.

Step1:

LCM(522, 576) = 16704

GCD(522, 576) = ( 522 x 576 ) / 16704

= 522 / 576

= 522

Step2:

LCM(18, 398) = 3582

GCD(18, 398) = ( 18 x 398 ) / 3582

= 18 / 398

= 18

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 522, 576, 398, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 954, 216, 978
• GCD of 907, 201, 369, 796
• GCD of 903, 509, 394, 923
• GCD of 536, 283, 760, 688
• GCD of 461, 510, 115, 881

Given numbers are 522, 576, 398, 672
The greatest common divisor of numbers 522, 576, 398, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 576, 398, 672 is 2.

1. What is the GCD of 522, 576, 398, 672?

GCD of given numbers 522, 576, 398, 672 is 2

2. How to calculate the greatest common divisor of 522, 576, 398, 672?

We can find the highest common divisor of 522, 576, 398, 672 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 522, 576, 398, 672 i.e 2.

3. How can I use the GCD of 522, 576, 398, 672Calculator?

Out the numbers 522, 576, 398, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.