GCD of 234, 663, 208, 637 Calculator

Given Input numbers are 234, 663, 208, 637

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

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

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

GCD of numbers is the greatest common divisor

So, the GCD (234, 663, 208, 637) = 13.

Given numbers are 234, 663, 208, 637

The list of prime factors of all numbers are

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

Prime factors of 663 are 3 x 13 x 17

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 637 are 7 x 7 x 13

The highest common occurrence is 13¹

Therefore, GCD of 234, 663, 208, 637 is 13.

Given numbers are 234, 663, 208, 637

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

Apply this formula for all numbers.

Step1:

LCM(234, 663) = 3978

GCD(234, 663) = ( 234 x 663 ) / 3978

= 234 / 663

= 234

Step2:

LCM(39, 208) = 624

GCD(39, 208) = ( 39 x 208 ) / 624

= 39 / 208

= 39

Step3:

LCM(13, 637) = 637

GCD(13, 637) = ( 13 x 637 ) / 637

= 13 / 637

= 13

So, Greatest Common Divisor of 234, 663, 208, 637 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 840, 331, 333
• GCD of 345, 473, 207, 380
• GCD of 928, 886, 121, 768
• GCD of 721, 900, 405, 985
• GCD of 180, 112, 463, 419

Given numbers are 234, 663, 208, 637
The greatest common divisor of numbers 234, 663, 208, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 663, 208, 637 is 13.

1. What is the GCD of 234, 663, 208, 637?

GCD of given numbers 234, 663, 208, 637 is 13

2. How to calculate the greatest common divisor of 234, 663, 208, 637?

We can find the highest common divisor of 234, 663, 208, 637 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 234, 663, 208, 637 i.e 13.

3. How can I use the GCD of 234, 663, 208, 637Calculator?

Out the numbers 234, 663, 208, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.