GCD of 360, 159, 984, 447 Calculator

Given Input numbers are 360, 159, 984, 447

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

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

GCD of numbers is the greatest common divisor

So, the GCD (360, 159, 984, 447) = 3.

Given numbers are 360, 159, 984, 447

The list of prime factors of all numbers are

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

Prime factors of 159 are 3 x 53

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 447 are 3 x 149

The highest common occurrence is 3¹

Therefore, GCD of 360, 159, 984, 447 is 3.

Given numbers are 360, 159, 984, 447

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

Apply this formula for all numbers.

Step1:

LCM(360, 159) = 19080

GCD(360, 159) = ( 360 x 159 ) / 19080

= 360 / 159

= 360

Step2:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

Step3:

LCM(3, 447) = 447

GCD(3, 447) = ( 3 x 447 ) / 447

= 3 / 447

= 3

So, Greatest Common Divisor of 360, 159, 984, 447 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 867, 968, 877
• GCD of 116, 460, 920, 717
• GCD of 730, 201, 317, 103
• GCD of 760, 875, 976, 758
• GCD of 315, 108, 384, 140

Given numbers are 360, 159, 984, 447
The greatest common divisor of numbers 360, 159, 984, 447 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 159, 984, 447 is 3.

1. What is the GCD of 360, 159, 984, 447?

GCD of given numbers 360, 159, 984, 447 is 3

2. How to calculate the greatest common divisor of 360, 159, 984, 447?

We can find the highest common divisor of 360, 159, 984, 447 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 360, 159, 984, 447 i.e 3.

3. How can I use the GCD of 360, 159, 984, 447Calculator?

Out the numbers 360, 159, 984, 447 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.