GCD of 196, 544, 522, 108 Calculator

Given Input numbers are 196, 544, 522, 108

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (196, 544, 522, 108) = 2.

Given numbers are 196, 544, 522, 108

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 196, 544, 522, 108 is 2.

Given numbers are 196, 544, 522, 108

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

Apply this formula for all numbers.

Step1:

LCM(196, 544) = 26656

GCD(196, 544) = ( 196 x 544 ) / 26656

= 196 / 544

= 196

Step2:

LCM(4, 522) = 1044

GCD(4, 522) = ( 4 x 522 ) / 1044

= 4 / 522

= 4

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 196, 544, 522, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 872, 955, 958
• GCD of 287, 960, 336, 280
• GCD of 338, 545, 423, 240
• GCD of 571, 238, 986, 481
• GCD of 265, 216, 640, 502

Given numbers are 196, 544, 522, 108
The greatest common divisor of numbers 196, 544, 522, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 544, 522, 108 is 2.

1. What is the GCD of 196, 544, 522, 108?

GCD of given numbers 196, 544, 522, 108 is 2

2. How to calculate the greatest common divisor of 196, 544, 522, 108?

We can find the highest common divisor of 196, 544, 522, 108 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 196, 544, 522, 108 i.e 2.

3. How can I use the GCD of 196, 544, 522, 108Calculator?

Out the numbers 196, 544, 522, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.