GCD of 199, 172, 309, 660 Calculator

Given Input numbers are 199, 172, 309, 660

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (199, 172, 309, 660) = 1.

Given numbers are 199, 172, 309, 660

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 172 are 2 x 2 x 43

Prime factors of 309 are 3 x 103

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 199, 172, 309, 660

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

Apply this formula for all numbers.

Step1:

LCM(199, 172) = 34228

GCD(199, 172) = ( 199 x 172 ) / 34228

= 199 / 172

= 199

Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 199, 172, 309, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 106, 401, 316
• GCD of 578, 996, 615, 144
• GCD of 698, 315, 316, 376
• GCD of 206, 696, 997, 785
• GCD of 285, 148, 672, 856

Given numbers are 199, 172, 309, 660
The greatest common divisor of numbers 199, 172, 309, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 172, 309, 660 is 1.

1. What is the GCD of 199, 172, 309, 660?

GCD of given numbers 199, 172, 309, 660 is 1

2. How to calculate the greatest common divisor of 199, 172, 309, 660?

We can find the highest common divisor of 199, 172, 309, 660 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 199, 172, 309, 660 i.e 1.

3. How can I use the GCD of 199, 172, 309, 660Calculator?

Out the numbers 199, 172, 309, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.