GCD of 634, 264, 684, 234 Calculator

Given Input numbers are 634, 264, 684, 234

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (634, 264, 684, 234) = 2.

Given numbers are 634, 264, 684, 234

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 634, 264, 684, 234 is 2.

Given numbers are 634, 264, 684, 234

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

Apply this formula for all numbers.

Step1:

LCM(634, 264) = 83688

GCD(634, 264) = ( 634 x 264 ) / 83688

= 634 / 264

= 634

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

So, Greatest Common Divisor of 634, 264, 684, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 413, 606, 678
• GCD of 506, 230, 671, 297
• GCD of 386, 153, 291, 238
• GCD of 778, 371, 265, 436
• GCD of 183, 396, 816, 898

Given numbers are 634, 264, 684, 234
The greatest common divisor of numbers 634, 264, 684, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 264, 684, 234 is 2.

1. What is the GCD of 634, 264, 684, 234?

GCD of given numbers 634, 264, 684, 234 is 2

2. How to calculate the greatest common divisor of 634, 264, 684, 234?

We can find the highest common divisor of 634, 264, 684, 234 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 634, 264, 684, 234 i.e 2.

3. How can I use the GCD of 634, 264, 684, 234Calculator?

Out the numbers 634, 264, 684, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.