GCD of 522, 648, 108, 236 Calculator

Given Input numbers are 522, 648, 108, 236

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

GCD of numbers is the greatest common divisor

So, the GCD (522, 648, 108, 236) = 2.

Given numbers are 522, 648, 108, 236

The list of prime factors of all numbers are

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 522, 648, 108, 236 is 2.

Given numbers are 522, 648, 108, 236

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

Apply this formula for all numbers.

Step1:

LCM(522, 648) = 18792

GCD(522, 648) = ( 522 x 648 ) / 18792

= 522 / 648

= 522

Step2:

LCM(18, 108) = 108

GCD(18, 108) = ( 18 x 108 ) / 108

= 18 / 108

= 18

Step3:

LCM(18, 236) = 2124

GCD(18, 236) = ( 18 x 236 ) / 2124

= 18 / 236

= 18

So, Greatest Common Divisor of 522, 648, 108, 236 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 371, 992, 316
• GCD of 368, 134, 985, 585
• GCD of 580, 895, 203, 489
• GCD of 588, 567, 318, 996
• GCD of 641, 466, 862, 685

Given numbers are 522, 648, 108, 236
The greatest common divisor of numbers 522, 648, 108, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 648, 108, 236 is 2.

1. What is the GCD of 522, 648, 108, 236?

GCD of given numbers 522, 648, 108, 236 is 2

2. How to calculate the greatest common divisor of 522, 648, 108, 236?

We can find the highest common divisor of 522, 648, 108, 236 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, 648, 108, 236 i.e 2.

3. How can I use the GCD of 522, 648, 108, 236Calculator?

Out the numbers 522, 648, 108, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.