GCD of 231, 392, 494, 687 Calculator

Given Input numbers are 231, 392, 494, 687

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 687 :

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

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (231, 392, 494, 687) = 1.

Given numbers are 231, 392, 494, 687

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 494 are 2 x 13 x 19

Prime factors of 687 are 3 x 229

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

Given numbers are 231, 392, 494, 687

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

Apply this formula for all numbers.

Step1:

LCM(231, 392) = 12936

GCD(231, 392) = ( 231 x 392 ) / 12936

= 231 / 392

= 231

Step2:

LCM(7, 494) = 3458

GCD(7, 494) = ( 7 x 494 ) / 3458

= 7 / 494

= 7

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 231, 392, 494, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 657, 890, 702
• GCD of 826, 418, 431, 445
• GCD of 368, 669, 456, 884
• GCD of 735, 691, 936, 471
• GCD of 353, 353, 361, 376

Given numbers are 231, 392, 494, 687
The greatest common divisor of numbers 231, 392, 494, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 392, 494, 687 is 1.

1. What is the GCD of 231, 392, 494, 687?

GCD of given numbers 231, 392, 494, 687 is 1

2. How to calculate the greatest common divisor of 231, 392, 494, 687?

We can find the highest common divisor of 231, 392, 494, 687 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 231, 392, 494, 687 i.e 1.

3. How can I use the GCD of 231, 392, 494, 687Calculator?

Out the numbers 231, 392, 494, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.