GCD of 682, 608, 212, 198 Calculator

Given Input numbers are 682, 608, 212, 198

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

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

GCD of numbers is the greatest common divisor

So, the GCD (682, 608, 212, 198) = 2.

Given numbers are 682, 608, 212, 198

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 212 are 2 x 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 682, 608, 212, 198 is 2.

Given numbers are 682, 608, 212, 198

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

Apply this formula for all numbers.

Step1:

LCM(682, 608) = 207328

GCD(682, 608) = ( 682 x 608 ) / 207328

= 682 / 608

= 682

Step2:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 682, 608, 212, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 525, 612, 480
• GCD of 890, 428, 579, 766
• GCD of 441, 218, 345, 915
• GCD of 732, 451, 258, 270
• GCD of 952, 715, 577, 253

Given numbers are 682, 608, 212, 198
The greatest common divisor of numbers 682, 608, 212, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 608, 212, 198 is 2.

1. What is the GCD of 682, 608, 212, 198?

GCD of given numbers 682, 608, 212, 198 is 2

2. How to calculate the greatest common divisor of 682, 608, 212, 198?

We can find the highest common divisor of 682, 608, 212, 198 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 682, 608, 212, 198 i.e 2.

3. How can I use the GCD of 682, 608, 212, 198Calculator?

Out the numbers 682, 608, 212, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.