GCD of 231, 426, 489, 364 Calculator

Given Input numbers are 231, 426, 489, 364

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (231, 426, 489, 364) = 1.

Given numbers are 231, 426, 489, 364

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 426 are 2 x 3 x 71

Prime factors of 489 are 3 x 163

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 231, 426, 489, 364

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

Apply this formula for all numbers.

Step1:

LCM(231, 426) = 32802

GCD(231, 426) = ( 231 x 426 ) / 32802

= 231 / 426

= 231

Step2:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

Step3:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

So, Greatest Common Divisor of 231, 426, 489, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 245, 130, 403
• GCD of 383, 856, 613, 681
• GCD of 974, 815, 122, 306
• GCD of 933, 140, 598, 943
• GCD of 114, 475, 992, 883

Given numbers are 231, 426, 489, 364
The greatest common divisor of numbers 231, 426, 489, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 426, 489, 364 is 1.

1. What is the GCD of 231, 426, 489, 364?

GCD of given numbers 231, 426, 489, 364 is 1

2. How to calculate the greatest common divisor of 231, 426, 489, 364?

We can find the highest common divisor of 231, 426, 489, 364 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, 426, 489, 364 i.e 1.

3. How can I use the GCD of 231, 426, 489, 364Calculator?

Out the numbers 231, 426, 489, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.