GCD of 489, 614, 213, 508 Calculator

Given Input numbers are 489, 614, 213, 508

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

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (489, 614, 213, 508) = 1.

Given numbers are 489, 614, 213, 508

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 614 are 2 x 307

Prime factors of 213 are 3 x 71

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 489, 614, 213, 508

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

Apply this formula for all numbers.

Step1:

LCM(489, 614) = 300246

GCD(489, 614) = ( 489 x 614 ) / 300246

= 489 / 614

= 489

Step2:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 489, 614, 213, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 525, 497, 540
• GCD of 530, 289, 645, 904
• GCD of 855, 354, 897, 183
• GCD of 768, 906, 841, 219
• GCD of 920, 689, 458, 789

Given numbers are 489, 614, 213, 508
The greatest common divisor of numbers 489, 614, 213, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 614, 213, 508 is 1.

1. What is the GCD of 489, 614, 213, 508?

GCD of given numbers 489, 614, 213, 508 is 1

2. How to calculate the greatest common divisor of 489, 614, 213, 508?

We can find the highest common divisor of 489, 614, 213, 508 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 489, 614, 213, 508 i.e 1.

3. How can I use the GCD of 489, 614, 213, 508Calculator?

Out the numbers 489, 614, 213, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.