GCD of 612, 318, 198, 704 Calculator

Given Input numbers are 612, 318, 198, 704

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (612, 318, 198, 704) = 2.

Given numbers are 612, 318, 198, 704

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 318 are 2 x 3 x 53

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 612, 318, 198, 704 is 2.

Given numbers are 612, 318, 198, 704

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

Apply this formula for all numbers.

Step1:

LCM(612, 318) = 32436

GCD(612, 318) = ( 612 x 318 ) / 32436

= 612 / 318

= 612

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

Step3:

LCM(6, 704) = 2112

GCD(6, 704) = ( 6 x 704 ) / 2112

= 6 / 704

= 6

So, Greatest Common Divisor of 612, 318, 198, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 254, 956, 754
• GCD of 569, 601, 282, 649
• GCD of 932, 470, 467, 131
• GCD of 891, 405, 695, 103
• GCD of 845, 919, 212, 549

Given numbers are 612, 318, 198, 704
The greatest common divisor of numbers 612, 318, 198, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 318, 198, 704 is 2.

1. What is the GCD of 612, 318, 198, 704?

GCD of given numbers 612, 318, 198, 704 is 2

2. How to calculate the greatest common divisor of 612, 318, 198, 704?

We can find the highest common divisor of 612, 318, 198, 704 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 612, 318, 198, 704 i.e 2.

3. How can I use the GCD of 612, 318, 198, 704Calculator?

Out the numbers 612, 318, 198, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.