GCD of 804, 582, 752, 218 Calculator

Given Input numbers are 804, 582, 752, 218

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (804, 582, 752, 218) = 2.

Given numbers are 804, 582, 752, 218

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 582 are 2 x 3 x 97

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 804, 582, 752, 218 is 2.

Given numbers are 804, 582, 752, 218

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

Apply this formula for all numbers.

Step1:

LCM(804, 582) = 77988

GCD(804, 582) = ( 804 x 582 ) / 77988

= 804 / 582

= 804

Step2:

LCM(6, 752) = 2256

GCD(6, 752) = ( 6 x 752 ) / 2256

= 6 / 752

= 6

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 804, 582, 752, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 142, 359, 673
• GCD of 823, 291, 269, 854
• GCD of 329, 659, 557, 545
• GCD of 135, 823, 427, 505
• GCD of 837, 372, 116, 547

Given numbers are 804, 582, 752, 218
The greatest common divisor of numbers 804, 582, 752, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 582, 752, 218 is 2.

1. What is the GCD of 804, 582, 752, 218?

GCD of given numbers 804, 582, 752, 218 is 2

2. How to calculate the greatest common divisor of 804, 582, 752, 218?

We can find the highest common divisor of 804, 582, 752, 218 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 804, 582, 752, 218 i.e 2.

3. How can I use the GCD of 804, 582, 752, 218Calculator?

Out the numbers 804, 582, 752, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.