GCD of 273, 309, 963, 506 Calculator

Given Input numbers are 273, 309, 963, 506

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (273, 309, 963, 506) = 1.

Given numbers are 273, 309, 963, 506

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 309 are 3 x 103

Prime factors of 963 are 3 x 3 x 107

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 273, 309, 963, 506

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

Apply this formula for all numbers.

Step1:

LCM(273, 309) = 28119

GCD(273, 309) = ( 273 x 309 ) / 28119

= 273 / 309

= 273

Step2:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

Step3:

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

= 3 / 506

= 3

So, Greatest Common Divisor of 273, 309, 963, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 675, 854, 406
• GCD of 833, 813, 597, 214
• GCD of 744, 530, 856, 898
• GCD of 123, 616, 995, 517
• GCD of 231, 607, 732, 210

Given numbers are 273, 309, 963, 506
The greatest common divisor of numbers 273, 309, 963, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 309, 963, 506 is 1.

1. What is the GCD of 273, 309, 963, 506?

GCD of given numbers 273, 309, 963, 506 is 1

2. How to calculate the greatest common divisor of 273, 309, 963, 506?

We can find the highest common divisor of 273, 309, 963, 506 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 273, 309, 963, 506 i.e 1.

3. How can I use the GCD of 273, 309, 963, 506Calculator?

Out the numbers 273, 309, 963, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.