GCD of 309, 963, 240, 199 Calculator

Given Input numbers are 309, 963, 240, 199

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 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

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 199 :

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

1, 199

GCD of numbers is the greatest common divisor

So, the GCD (309, 963, 240, 199) = 1.

Given numbers are 309, 963, 240, 199

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 963 are 3 x 3 x 107

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

Prime factors of 199 are 199

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

Given numbers are 309, 963, 240, 199

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

Apply this formula for all numbers.

Step1:

LCM(309, 963) = 99189

GCD(309, 963) = ( 309 x 963 ) / 99189

= 309 / 963

= 309

Step2:

LCM(3, 240) = 240

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

= 3 / 240

= 3

Step3:

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

= 3 / 199

= 3

So, Greatest Common Divisor of 309, 963, 240, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 219, 693, 152
• GCD of 561, 263, 961, 491
• GCD of 953, 703, 793, 301
• GCD of 818, 213, 924, 845
• GCD of 649, 250, 544, 490

Given numbers are 309, 963, 240, 199
The greatest common divisor of numbers 309, 963, 240, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 963, 240, 199 is 1.

1. What is the GCD of 309, 963, 240, 199?

GCD of given numbers 309, 963, 240, 199 is 1

2. How to calculate the greatest common divisor of 309, 963, 240, 199?

We can find the highest common divisor of 309, 963, 240, 199 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, 963, 240, 199 i.e 1.

3. How can I use the GCD of 309, 963, 240, 199Calculator?

Out the numbers 309, 963, 240, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.