GCD of 489, 675, 780, 487 Calculator

Given Input numbers are 489, 675, 780, 487

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

GCD of numbers is the greatest common divisor

So, the GCD (489, 675, 780, 487) = 1.

Given numbers are 489, 675, 780, 487

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 487 are 487

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

Given numbers are 489, 675, 780, 487

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

Apply this formula for all numbers.

Step1:

LCM(489, 675) = 110025

GCD(489, 675) = ( 489 x 675 ) / 110025

= 489 / 675

= 489

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 487) = 1461

GCD(3, 487) = ( 3 x 487 ) / 1461

= 3 / 487

= 3

So, Greatest Common Divisor of 489, 675, 780, 487 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 570, 752, 135
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Given numbers are 489, 675, 780, 487
The greatest common divisor of numbers 489, 675, 780, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 675, 780, 487 is 1.

1. What is the GCD of 489, 675, 780, 487?

GCD of given numbers 489, 675, 780, 487 is 1

2. How to calculate the greatest common divisor of 489, 675, 780, 487?

We can find the highest common divisor of 489, 675, 780, 487 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, 675, 780, 487 i.e 1.

3. How can I use the GCD of 489, 675, 780, 487Calculator?

Out the numbers 489, 675, 780, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.