GCD of 966, 717, 509, 824 Calculator

Given Input numbers are 966, 717, 509, 824

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (966, 717, 509, 824) = 1.

Given numbers are 966, 717, 509, 824

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 717 are 3 x 239

Prime factors of 509 are 509

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 966, 717, 509, 824

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

Apply this formula for all numbers.

Step1:

LCM(966, 717) = 230874

GCD(966, 717) = ( 966 x 717 ) / 230874

= 966 / 717

= 966

Step2:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 966, 717, 509, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 527, 538, 856
• GCD of 270, 171, 678, 808
• GCD of 649, 290, 596, 750
• GCD of 843, 921, 341, 358
• GCD of 274, 705, 242, 367

Given numbers are 966, 717, 509, 824
The greatest common divisor of numbers 966, 717, 509, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 717, 509, 824 is 1.

1. What is the GCD of 966, 717, 509, 824?

GCD of given numbers 966, 717, 509, 824 is 1

2. How to calculate the greatest common divisor of 966, 717, 509, 824?

We can find the highest common divisor of 966, 717, 509, 824 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 966, 717, 509, 824 i.e 1.

3. How can I use the GCD of 966, 717, 509, 824Calculator?

Out the numbers 966, 717, 509, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.