GCD of 765, 969, 24, 322 Calculator

Given Input numbers are 765, 969, 24, 322

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (765, 969, 24, 322) = 1.

Given numbers are 765, 969, 24, 322

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 969 are 3 x 17 x 19

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 322 are 2 x 7 x 23

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

Given numbers are 765, 969, 24, 322

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

Apply this formula for all numbers.

Step1:

LCM(765, 969) = 14535

GCD(765, 969) = ( 765 x 969 ) / 14535

= 765 / 969

= 765

Step2:

LCM(51, 24) = 408

GCD(51, 24) = ( 51 x 24 ) / 408

= 51 / 24

= 51

Step3:

LCM(3, 322) = 966

GCD(3, 322) = ( 3 x 322 ) / 966

= 3 / 322

= 3

So, Greatest Common Divisor of 765, 969, 24, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 231, 90, 777
• GCD of 615, 426, 82, 803
• GCD of 173, 859, 70, 214
• GCD of 340, 426, 14, 539
• GCD of 557, 704, 57, 185

Given numbers are 765, 969, 24, 322
The greatest common divisor of numbers 765, 969, 24, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 969, 24, 322 is 1.

1. What is the GCD of 765, 969, 24, 322?

GCD of given numbers 765, 969, 24, 322 is 1

2. How to calculate the greatest common divisor of 765, 969, 24, 322?

We can find the highest common divisor of 765, 969, 24, 322 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 765, 969, 24, 322 i.e 1.

3. How can I use the GCD of 765, 969, 24, 322Calculator?

Out the numbers 765, 969, 24, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.