GCD of 234, 300, 908, 462 Calculator

Given Input numbers are 234, 300, 908, 462

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (234, 300, 908, 462) = 2.

Given numbers are 234, 300, 908, 462

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 908 are 2 x 2 x 227

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 234, 300, 908, 462 is 2.

Given numbers are 234, 300, 908, 462

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

Apply this formula for all numbers.

Step1:

LCM(234, 300) = 11700

GCD(234, 300) = ( 234 x 300 ) / 11700

= 234 / 300

= 234

Step2:

LCM(6, 908) = 2724

GCD(6, 908) = ( 6 x 908 ) / 2724

= 6 / 908

= 6

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 234, 300, 908, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 271, 601, 187
• GCD of 618, 869, 196, 522
• GCD of 830, 123, 494, 262
• GCD of 539, 234, 865, 512
• GCD of 912, 624, 352, 402

Given numbers are 234, 300, 908, 462
The greatest common divisor of numbers 234, 300, 908, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 300, 908, 462 is 2.

1. What is the GCD of 234, 300, 908, 462?

GCD of given numbers 234, 300, 908, 462 is 2

2. How to calculate the greatest common divisor of 234, 300, 908, 462?

We can find the highest common divisor of 234, 300, 908, 462 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, 300, 908, 462 i.e 2.

3. How can I use the GCD of 234, 300, 908, 462Calculator?

Out the numbers 234, 300, 908, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.