GCD of 489, 705, 192, 425 Calculator

Given Input numbers are 489, 705, 192, 425

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

GCD of numbers is the greatest common divisor

So, the GCD (489, 705, 192, 425) = 1.

Given numbers are 489, 705, 192, 425

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 705 are 3 x 5 x 47

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 425 are 5 x 5 x 17

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

Given numbers are 489, 705, 192, 425

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

Apply this formula for all numbers.

Step1:

LCM(489, 705) = 114915

GCD(489, 705) = ( 489 x 705 ) / 114915

= 489 / 705

= 489

Step2:

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

= 3 / 192

= 3

Step3:

LCM(3, 425) = 1275

GCD(3, 425) = ( 3 x 425 ) / 1275

= 3 / 425

= 3

So, Greatest Common Divisor of 489, 705, 192, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 288, 598, 657
• GCD of 853, 941, 368, 985
• GCD of 121, 913, 473, 844
• GCD of 337, 122, 231, 942
• GCD of 162, 911, 509, 579

Given numbers are 489, 705, 192, 425
The greatest common divisor of numbers 489, 705, 192, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 705, 192, 425 is 1.

1. What is the GCD of 489, 705, 192, 425?

GCD of given numbers 489, 705, 192, 425 is 1

2. How to calculate the greatest common divisor of 489, 705, 192, 425?

We can find the highest common divisor of 489, 705, 192, 425 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, 705, 192, 425 i.e 1.

3. How can I use the GCD of 489, 705, 192, 425Calculator?

Out the numbers 489, 705, 192, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.