GCD of 500, 656, 892, 652 Calculator

Given Input numbers are 500, 656, 892, 652

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 500, 656, 892, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 656, 892, 652 is 4.

Therefore, GCD of numbers 500, 656, 892, 652 is 4

Given Input Data is 500, 656, 892, 652

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 652 is 2 x 2 x 163

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, 656) = 82000

GCD(500, 656) = ( 500 x 656 ) / 82000

GCD(500, 656) = 328000 / 82000

GCD(500, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 892

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

LCM(4, 892) = 892

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

GCD(4, 892) = 3568 / 892

GCD(4, 892) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 652

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

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

GCD(4, 652) = 2608 / 652

GCD(4, 652) = 4

GCD of 500, 656, 892, 652 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 456, 873, 289
• GCD of 436, 672, 835, 208
• GCD of 436, 730, 192, 398
• GCD of 100, 736, 719, 296
• GCD of 447, 962, 139, 384

1. What is the GCD of 500, 656, 892, 652?

GCD of 500, 656, 892, 652 is 4

2. Where do I get the detailed procedure to find GCD of 500, 656, 892, 652?

You can find a detailed procedure to find GCD of 500, 656, 892, 652 on our page.

3. How to find GCD of 500, 656, 892, 652 on a calculator?

You can find the GCD of 500, 656, 892, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.