GCD of 282, 360, 689, 864 Calculator

Given Input numbers are 282, 360, 689, 864

In the factoring method, we have to find the divisors of all numbers

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (282, 360, 689, 864) = 1.

Given numbers are 282, 360, 689, 864

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

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

Prime factors of 689 are 13 x 53

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 282, 360, 689, 864

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

Apply this formula for all numbers.

Step1:

LCM(282, 360) = 16920

GCD(282, 360) = ( 282 x 360 ) / 16920

= 282 / 360

= 282

Step2:

LCM(6, 689) = 4134

GCD(6, 689) = ( 6 x 689 ) / 4134

= 6 / 689

= 6

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 282, 360, 689, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 131, 933, 481
• GCD of 228, 189, 321, 761
• GCD of 212, 400, 210, 614
• GCD of 591, 237, 280, 141
• GCD of 613, 741, 785, 127

Given numbers are 282, 360, 689, 864
The greatest common divisor of numbers 282, 360, 689, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 360, 689, 864 is 1.

1. What is the GCD of 282, 360, 689, 864?

GCD of given numbers 282, 360, 689, 864 is 1

2. How to calculate the greatest common divisor of 282, 360, 689, 864?

We can find the highest common divisor of 282, 360, 689, 864 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 282, 360, 689, 864 i.e 1.

3. How can I use the GCD of 282, 360, 689, 864Calculator?

Out the numbers 282, 360, 689, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.