GCD of 309, 792, 165, 531 Calculator

Given Input numbers are 309, 792, 165, 531

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

GCD of numbers is the greatest common divisor

So, the GCD (309, 792, 165, 531) = 3.

Given numbers are 309, 792, 165, 531

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 165 are 3 x 5 x 11

Prime factors of 531 are 3 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 309, 792, 165, 531 is 3.

Given numbers are 309, 792, 165, 531

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

Apply this formula for all numbers.

Step1:

LCM(309, 792) = 81576

GCD(309, 792) = ( 309 x 792 ) / 81576

= 309 / 792

= 309

Step2:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3

Step3:

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

= 3 / 531

= 3

So, Greatest Common Divisor of 309, 792, 165, 531 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 126, 468, 512
• GCD of 138, 942, 698, 656
• GCD of 700, 693, 191, 278
• GCD of 153, 585, 450, 689
• GCD of 847, 999, 554, 470

Given numbers are 309, 792, 165, 531
The greatest common divisor of numbers 309, 792, 165, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 792, 165, 531 is 3.

1. What is the GCD of 309, 792, 165, 531?

GCD of given numbers 309, 792, 165, 531 is 3

2. How to calculate the greatest common divisor of 309, 792, 165, 531?

We can find the highest common divisor of 309, 792, 165, 531 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, 792, 165, 531 i.e 3.

3. How can I use the GCD of 309, 792, 165, 531Calculator?

Out the numbers 309, 792, 165, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.