GCD of 489, 825, 654, 182 Calculator

Given Input numbers are 489, 825, 654, 182

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (489, 825, 654, 182) = 1.

Given numbers are 489, 825, 654, 182

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 654 are 2 x 3 x 109

Prime factors of 182 are 2 x 7 x 13

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

Given numbers are 489, 825, 654, 182

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

Apply this formula for all numbers.

Step1:

LCM(489, 825) = 134475

GCD(489, 825) = ( 489 x 825 ) / 134475

= 489 / 825

= 489

Step2:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

Step3:

LCM(3, 182) = 546

GCD(3, 182) = ( 3 x 182 ) / 546

= 3 / 182

= 3

So, Greatest Common Divisor of 489, 825, 654, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 561, 805, 901
• GCD of 313, 246, 852, 721
• GCD of 163, 607, 225, 810
• GCD of 520, 564, 496, 481
• GCD of 188, 543, 866, 125

Given numbers are 489, 825, 654, 182
The greatest common divisor of numbers 489, 825, 654, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 825, 654, 182 is 1.

1. What is the GCD of 489, 825, 654, 182?

GCD of given numbers 489, 825, 654, 182 is 1

2. How to calculate the greatest common divisor of 489, 825, 654, 182?

We can find the highest common divisor of 489, 825, 654, 182 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, 825, 654, 182 i.e 1.

3. How can I use the GCD of 489, 825, 654, 182Calculator?

Out the numbers 489, 825, 654, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.