GCD of 234, 687, 688, 462 Calculator

Given Input numbers are 234, 687, 688, 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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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, 687, 688, 462) = 1.

Given numbers are 234, 687, 688, 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 687 are 3 x 229

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 234, 687, 688, 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, 687) = 53586

GCD(234, 687) = ( 234 x 687 ) / 53586

= 234 / 687

= 234

Step2:

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

= 3 / 688

= 3

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 234, 687, 688, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 103, 256, 376
• GCD of 297, 346, 274, 429
• GCD of 954, 461, 520, 880
• GCD of 730, 876, 756, 711
• GCD of 657, 863, 164, 180

Given numbers are 234, 687, 688, 462
The greatest common divisor of numbers 234, 687, 688, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 687, 688, 462 is 1.

1. What is the GCD of 234, 687, 688, 462?

GCD of given numbers 234, 687, 688, 462 is 1

2. How to calculate the greatest common divisor of 234, 687, 688, 462?

We can find the highest common divisor of 234, 687, 688, 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, 687, 688, 462 i.e 1.

3. How can I use the GCD of 234, 687, 688, 462Calculator?

Out the numbers 234, 687, 688, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.