GCD of 489, 513, 69, 921 Calculator

Given Input numbers are 489, 513, 69, 921

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (489, 513, 69, 921) = 3.

Given numbers are 489, 513, 69, 921

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 69 are 3 x 23

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 489, 513, 69, 921 is 3.

Given numbers are 489, 513, 69, 921

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

Apply this formula for all numbers.

Step1:

LCM(489, 513) = 83619

GCD(489, 513) = ( 489 x 513 ) / 83619

= 489 / 513

= 489

Step2:

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

= 3 / 69

= 3

Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 489, 513, 69, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 912, 14, 394
• GCD of 472, 871, 43, 831
• GCD of 341, 212, 17, 463
• GCD of 842, 812, 78, 806
• GCD of 536, 505, 88, 228

Given numbers are 489, 513, 69, 921
The greatest common divisor of numbers 489, 513, 69, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 513, 69, 921 is 3.

1. What is the GCD of 489, 513, 69, 921?

GCD of given numbers 489, 513, 69, 921 is 3

2. How to calculate the greatest common divisor of 489, 513, 69, 921?

We can find the highest common divisor of 489, 513, 69, 921 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, 513, 69, 921 i.e 3.

3. How can I use the GCD of 489, 513, 69, 921Calculator?

Out the numbers 489, 513, 69, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.