GCD of 489, 420, 198, 895 Calculator

Given Input numbers are 489, 420, 198, 895

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 895 :

The positive integer divisors of 895 that completely divides 895 are.

1, 5, 179, 895

GCD of numbers is the greatest common divisor

So, the GCD (489, 420, 198, 895) = 1.

Given numbers are 489, 420, 198, 895

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 895 are 5 x 179

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

Given numbers are 489, 420, 198, 895

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

Apply this formula for all numbers.

Step1:

LCM(489, 420) = 68460

GCD(489, 420) = ( 489 x 420 ) / 68460

= 489 / 420

= 489

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 895) = 2685

GCD(3, 895) = ( 3 x 895 ) / 2685

= 3 / 895

= 3

So, Greatest Common Divisor of 489, 420, 198, 895 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 251, 511, 934
• GCD of 338, 917, 579, 593
• GCD of 232, 203, 835, 560
• GCD of 208, 647, 327, 460
• GCD of 808, 386, 426, 391

Given numbers are 489, 420, 198, 895
The greatest common divisor of numbers 489, 420, 198, 895 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 420, 198, 895 is 1.

1. What is the GCD of 489, 420, 198, 895?

GCD of given numbers 489, 420, 198, 895 is 1

2. How to calculate the greatest common divisor of 489, 420, 198, 895?

We can find the highest common divisor of 489, 420, 198, 895 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, 420, 198, 895 i.e 1.

3. How can I use the GCD of 489, 420, 198, 895Calculator?

Out the numbers 489, 420, 198, 895 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.