GCD of 912, 198, 849, 690 Calculator

Given Input numbers are 912, 198, 849, 690

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (912, 198, 849, 690) = 3.

Given numbers are 912, 198, 849, 690

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

Prime factors of 849 are 3 x 283

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 912, 198, 849, 690 is 3.

Given numbers are 912, 198, 849, 690

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

Apply this formula for all numbers.

Step1:

LCM(912, 198) = 30096

GCD(912, 198) = ( 912 x 198 ) / 30096

= 912 / 198

= 912

Step2:

LCM(6, 849) = 1698

GCD(6, 849) = ( 6 x 849 ) / 1698

= 6 / 849

= 6

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 912, 198, 849, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 116, 422, 909
• GCD of 170, 772, 973, 704
• GCD of 522, 924, 619, 217
• GCD of 718, 368, 663, 182
• GCD of 183, 877, 668, 597

Given numbers are 912, 198, 849, 690
The greatest common divisor of numbers 912, 198, 849, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 198, 849, 690 is 3.

1. What is the GCD of 912, 198, 849, 690?

GCD of given numbers 912, 198, 849, 690 is 3

2. How to calculate the greatest common divisor of 912, 198, 849, 690?

We can find the highest common divisor of 912, 198, 849, 690 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 912, 198, 849, 690 i.e 3.

3. How can I use the GCD of 912, 198, 849, 690Calculator?

Out the numbers 912, 198, 849, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.