GCD of 309, 198, 240, 628 Calculator

Given Input numbers are 309, 198, 240, 628

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (309, 198, 240, 628) = 1.

Given numbers are 309, 198, 240, 628

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 628 are 2 x 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 309, 198, 240, 628

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

Apply this formula for all numbers.

Step1:

LCM(309, 198) = 20394

GCD(309, 198) = ( 309 x 198 ) / 20394

= 309 / 198

= 309

Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

Step3:

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

= 3 / 628

= 3

So, Greatest Common Divisor of 309, 198, 240, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 763, 933, 665
• GCD of 429, 101, 107, 199
• GCD of 886, 425, 873, 715
• GCD of 155, 275, 462, 676
• GCD of 258, 541, 498, 825

Given numbers are 309, 198, 240, 628
The greatest common divisor of numbers 309, 198, 240, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 198, 240, 628 is 1.

1. What is the GCD of 309, 198, 240, 628?

GCD of given numbers 309, 198, 240, 628 is 1

2. How to calculate the greatest common divisor of 309, 198, 240, 628?

We can find the highest common divisor of 309, 198, 240, 628 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 309, 198, 240, 628 i.e 1.

3. How can I use the GCD of 309, 198, 240, 628Calculator?

Out the numbers 309, 198, 240, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.