GCD of 522, 576, 616, 138 Calculator

Given Input numbers are 522, 576, 616, 138

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (522, 576, 616, 138) = 2.

Given numbers are 522, 576, 616, 138

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 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 522, 576, 616, 138 is 2.

Given numbers are 522, 576, 616, 138

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, 616) = 5544

GCD(18, 616) = ( 18 x 616 ) / 5544

= 18 / 616

= 18

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 522, 576, 616, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 653, 776, 135
• GCD of 762, 921, 214, 507
• GCD of 539, 467, 653, 395
• GCD of 609, 394, 871, 345
• GCD of 199, 364, 136, 189

Given numbers are 522, 576, 616, 138
The greatest common divisor of numbers 522, 576, 616, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 576, 616, 138 is 2.

1. What is the GCD of 522, 576, 616, 138?

GCD of given numbers 522, 576, 616, 138 is 2

2. How to calculate the greatest common divisor of 522, 576, 616, 138?

We can find the highest common divisor of 522, 576, 616, 138 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, 616, 138 i.e 2.

3. How can I use the GCD of 522, 576, 616, 138Calculator?

Out the numbers 522, 576, 616, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.