GCD of 660, 468, 800, 584 Calculator

Given Input numbers are 660, 468, 800, 584

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (660, 468, 800, 584) = 4.

Given numbers are 660, 468, 800, 584

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2²

Therefore, GCD of 660, 468, 800, 584 is 4.

Given numbers are 660, 468, 800, 584

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

Apply this formula for all numbers.

Step1:

LCM(660, 468) = 25740

GCD(660, 468) = ( 660 x 468 ) / 25740

= 660 / 468

= 660

Step2:

LCM(12, 800) = 2400

GCD(12, 800) = ( 12 x 800 ) / 2400

= 12 / 800

= 12

Step3:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

So, Greatest Common Divisor of 660, 468, 800, 584 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 726, 663, 245
• GCD of 935, 813, 411, 723
• GCD of 533, 991, 469, 331
• GCD of 984, 708, 252, 374
• GCD of 903, 292, 480, 470

Given numbers are 660, 468, 800, 584
The greatest common divisor of numbers 660, 468, 800, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 468, 800, 584 is 4.

1. What is the GCD of 660, 468, 800, 584?

GCD of given numbers 660, 468, 800, 584 is 4

2. How to calculate the greatest common divisor of 660, 468, 800, 584?

We can find the highest common divisor of 660, 468, 800, 584 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 660, 468, 800, 584 i.e 4.

3. How can I use the GCD of 660, 468, 800, 584Calculator?

Out the numbers 660, 468, 800, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.