GCD of 500, 792, 964, 446 Calculator

Given Input numbers are 500, 792, 964, 446

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (500, 792, 964, 446) = 2.

Given numbers are 500, 792, 964, 446

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 964 are 2 x 2 x 241

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 500, 792, 964, 446 is 2.

Given numbers are 500, 792, 964, 446

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

Apply this formula for all numbers.

Step1:

LCM(500, 792) = 99000

GCD(500, 792) = ( 500 x 792 ) / 99000

= 500 / 792

= 500

Step2:

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

= 4 / 964

= 4

Step3:

LCM(4, 446) = 892

GCD(4, 446) = ( 4 x 446 ) / 892

= 4 / 446

= 4

So, Greatest Common Divisor of 500, 792, 964, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 897, 433, 321
• GCD of 773, 689, 913, 421
• GCD of 893, 364, 127, 698
• GCD of 940, 629, 472, 797
• GCD of 127, 783, 595, 264

Given numbers are 500, 792, 964, 446
The greatest common divisor of numbers 500, 792, 964, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 792, 964, 446 is 2.

1. What is the GCD of 500, 792, 964, 446?

GCD of given numbers 500, 792, 964, 446 is 2

2. How to calculate the greatest common divisor of 500, 792, 964, 446?

We can find the highest common divisor of 500, 792, 964, 446 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 500, 792, 964, 446 i.e 2.

3. How can I use the GCD of 500, 792, 964, 446Calculator?

Out the numbers 500, 792, 964, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.