GCD of 500, 792, 64, 976 Calculator

Given Input numbers are 500, 792, 64, 976

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 500, 792, 64, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 792, 64, 976 is 4.

Therefore, GCD of numbers 500, 792, 64, 976 is 4

Given Input Data is 500, 792, 64, 976

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

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

LCM(500, 792) = 99000

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

GCD(500, 792) = 396000 / 99000

GCD(500, 792) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 976

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

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

GCD(4, 976) = 3904 / 976

GCD(4, 976) = 4

GCD of 500, 792, 64, 976 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 373, 19, 216
• GCD of 927, 210, 59, 319
• GCD of 351, 212, 73, 120
• GCD of 152, 926, 89, 274
• GCD of 772, 994, 65, 997

1. What is the GCD of 500, 792, 64, 976?

GCD of 500, 792, 64, 976 is 4

2. Where do I get the detailed procedure to find GCD of 500, 792, 64, 976?

You can find a detailed procedure to find GCD of 500, 792, 64, 976 on our page.

3. How to find GCD of 500, 792, 64, 976 on a calculator?

You can find the GCD of 500, 792, 64, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.