GCD of 387, 531, 753, 489 Calculator

Given Input numbers are 387, 531, 753, 489

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 489 :

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

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (387, 531, 753, 489) = 3.

Given numbers are 387, 531, 753, 489

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 531 are 3 x 3 x 59

Prime factors of 753 are 3 x 251

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 387, 531, 753, 489 is 3.

Given numbers are 387, 531, 753, 489

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

Apply this formula for all numbers.

Step1:

LCM(387, 531) = 22833

GCD(387, 531) = ( 387 x 531 ) / 22833

= 387 / 531

= 387

Step2:

LCM(9, 753) = 2259

GCD(9, 753) = ( 9 x 753 ) / 2259

= 9 / 753

= 9

Step3:

LCM(3, 489) = 489

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

= 3 / 489

= 3

So, Greatest Common Divisor of 387, 531, 753, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 917, 148, 323
• GCD of 657, 341, 891, 353
• GCD of 827, 673, 420, 388
• GCD of 780, 765, 928, 777
• GCD of 419, 659, 434, 564

Given numbers are 387, 531, 753, 489
The greatest common divisor of numbers 387, 531, 753, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 531, 753, 489 is 3.

1. What is the GCD of 387, 531, 753, 489?

GCD of given numbers 387, 531, 753, 489 is 3

2. How to calculate the greatest common divisor of 387, 531, 753, 489?

We can find the highest common divisor of 387, 531, 753, 489 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 387, 531, 753, 489 i.e 3.

3. How can I use the GCD of 387, 531, 753, 489Calculator?

Out the numbers 387, 531, 753, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.