GCD of 500, 850, 792, 364 Calculator

Given Input numbers are 500, 850, 792, 364

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 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (500, 850, 792, 364) = 2.

Given numbers are 500, 850, 792, 364

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 850 are 2 x 5 x 5 x 17

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

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 500, 850, 792, 364 is 2.

Given numbers are 500, 850, 792, 364

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

Apply this formula for all numbers.

Step1:

LCM(500, 850) = 8500

GCD(500, 850) = ( 500 x 850 ) / 8500

= 500 / 850

= 500

Step2:

LCM(50, 792) = 19800

GCD(50, 792) = ( 50 x 792 ) / 19800

= 50 / 792

= 50

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 500, 850, 792, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 235, 884, 150
• GCD of 312, 708, 946, 185
• GCD of 460, 506, 259, 718
• GCD of 252, 691, 611, 376
• GCD of 770, 147, 572, 683

Given numbers are 500, 850, 792, 364
The greatest common divisor of numbers 500, 850, 792, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 850, 792, 364 is 2.

1. What is the GCD of 500, 850, 792, 364?

GCD of given numbers 500, 850, 792, 364 is 2

2. How to calculate the greatest common divisor of 500, 850, 792, 364?

We can find the highest common divisor of 500, 850, 792, 364 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, 850, 792, 364 i.e 2.

3. How can I use the GCD of 500, 850, 792, 364Calculator?

Out the numbers 500, 850, 792, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.