GCD of 440, 678, 580, 218 Calculator

Given Input numbers are 440, 678, 580, 218

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 (440, 678, 580, 218) = 2.

Given numbers are 440, 678, 580, 218

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 678 are 2 x 3 x 113

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 440, 678, 580, 218 is 2.

Given numbers are 440, 678, 580, 218

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

Apply this formula for all numbers.

Step1:

LCM(440, 678) = 149160

GCD(440, 678) = ( 440 x 678 ) / 149160

= 440 / 678

= 440

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 218) = 218

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

= 2 / 218

= 2

So, Greatest Common Divisor of 440, 678, 580, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 611, 412, 389
• GCD of 310, 489, 574, 126
• GCD of 916, 596, 339, 177
• GCD of 721, 168, 191, 159
• GCD of 444, 248, 430, 769

Given numbers are 440, 678, 580, 218
The greatest common divisor of numbers 440, 678, 580, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 678, 580, 218 is 2.

1. What is the GCD of 440, 678, 580, 218?

GCD of given numbers 440, 678, 580, 218 is 2

2. How to calculate the greatest common divisor of 440, 678, 580, 218?

We can find the highest common divisor of 440, 678, 580, 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 440, 678, 580, 218 i.e 2.

3. How can I use the GCD of 440, 678, 580, 218Calculator?

Out the numbers 440, 678, 580, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.