GCD of 489, 360, 896, 679 Calculator

Given Input numbers are 489, 360, 896, 679

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (489, 360, 896, 679) = 1.

Given numbers are 489, 360, 896, 679

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 679 are 7 x 97

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

Given numbers are 489, 360, 896, 679

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

Apply this formula for all numbers.

Step1:

LCM(489, 360) = 58680

GCD(489, 360) = ( 489 x 360 ) / 58680

= 489 / 360

= 489

Step2:

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

= 3 / 896

= 3

Step3:

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

= 1 / 679

= 1

So, Greatest Common Divisor of 489, 360, 896, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 816, 270, 725
• GCD of 575, 764, 599, 180
• GCD of 416, 753, 872, 148
• GCD of 545, 893, 723, 237
• GCD of 555, 493, 549, 615

Given numbers are 489, 360, 896, 679
The greatest common divisor of numbers 489, 360, 896, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 360, 896, 679 is 1.

1. What is the GCD of 489, 360, 896, 679?

GCD of given numbers 489, 360, 896, 679 is 1

2. How to calculate the greatest common divisor of 489, 360, 896, 679?

We can find the highest common divisor of 489, 360, 896, 679 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, 360, 896, 679 i.e 1.

3. How can I use the GCD of 489, 360, 896, 679Calculator?

Out the numbers 489, 360, 896, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.