GCD of 218, 238, 806, 708 Calculator

Given Input numbers are 218, 238, 806, 708

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

Divisors of 218 :

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

1, 2, 109, 218

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (218, 238, 806, 708) = 2.

Given numbers are 218, 238, 806, 708

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 238 are 2 x 7 x 17

Prime factors of 806 are 2 x 13 x 31

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 218, 238, 806, 708 is 2.

Given numbers are 218, 238, 806, 708

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

Apply this formula for all numbers.

Step1:

LCM(218, 238) = 25942

GCD(218, 238) = ( 218 x 238 ) / 25942

= 218 / 238

= 218

Step2:

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

= 2 / 806

= 2

Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

So, Greatest Common Divisor of 218, 238, 806, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 590, 929, 242
• GCD of 855, 682, 403, 898
• GCD of 746, 937, 701, 385
• GCD of 447, 486, 699, 764
• GCD of 125, 582, 317, 991

Given numbers are 218, 238, 806, 708
The greatest common divisor of numbers 218, 238, 806, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 238, 806, 708 is 2.

1. What is the GCD of 218, 238, 806, 708?

GCD of given numbers 218, 238, 806, 708 is 2

2. How to calculate the greatest common divisor of 218, 238, 806, 708?

We can find the highest common divisor of 218, 238, 806, 708 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 218, 238, 806, 708 i.e 2.

3. How can I use the GCD of 218, 238, 806, 708Calculator?

Out the numbers 218, 238, 806, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.