GCD of 218, 198, 370, 982 Calculator

Given Input numbers are 218, 198, 370, 982

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (218, 198, 370, 982) = 2.

Given numbers are 218, 198, 370, 982

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 370 are 2 x 5 x 37

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 218, 198, 370, 982 is 2.

Given numbers are 218, 198, 370, 982

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

Apply this formula for all numbers.

Step1:

LCM(218, 198) = 21582

GCD(218, 198) = ( 218 x 198 ) / 21582

= 218 / 198

= 218

Step2:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

Step3:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

So, Greatest Common Divisor of 218, 198, 370, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 764, 405, 207
• GCD of 820, 216, 576, 340
• GCD of 253, 178, 652, 713
• GCD of 204, 573, 974, 106
• GCD of 671, 386, 350, 668

Given numbers are 218, 198, 370, 982
The greatest common divisor of numbers 218, 198, 370, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 198, 370, 982 is 2.

1. What is the GCD of 218, 198, 370, 982?

GCD of given numbers 218, 198, 370, 982 is 2

2. How to calculate the greatest common divisor of 218, 198, 370, 982?

We can find the highest common divisor of 218, 198, 370, 982 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, 198, 370, 982 i.e 2.

3. How can I use the GCD of 218, 198, 370, 982Calculator?

Out the numbers 218, 198, 370, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.