GCD of 792, 309, 20, 523 Calculator

Given Input numbers are 792, 309, 20, 523

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

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (792, 309, 20, 523) = 1.

Given numbers are 792, 309, 20, 523

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 20 are 2 x 2 x 5

Prime factors of 523 are 523

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

Given numbers are 792, 309, 20, 523

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

Apply this formula for all numbers.

Step1:

LCM(792, 309) = 81576

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

= 792 / 309

= 792

Step2:

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

= 3 / 20

= 3

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 792, 309, 20, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 624, 11, 902
• GCD of 276, 637, 92, 969
• GCD of 892, 358, 51, 527
• GCD of 354, 545, 65, 755
• GCD of 831, 661, 13, 744

Given numbers are 792, 309, 20, 523
The greatest common divisor of numbers 792, 309, 20, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 309, 20, 523 is 1.

1. What is the GCD of 792, 309, 20, 523?

GCD of given numbers 792, 309, 20, 523 is 1

2. How to calculate the greatest common divisor of 792, 309, 20, 523?

We can find the highest common divisor of 792, 309, 20, 523 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 792, 309, 20, 523 i.e 1.

3. How can I use the GCD of 792, 309, 20, 523Calculator?

Out the numbers 792, 309, 20, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.