GCD of 500, 152, 11, 553 Calculator

Given Input numbers are 500, 152, 11, 553

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 500, 152, 11, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 152, 11, 553 is 1.

Therefore, GCD of numbers 500, 152, 11, 553 is 1

Given Input Data is 500, 152, 11, 553

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 11 is 11

Prime Factorization of 553 is 7 x 79

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

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, 152) = 19000

GCD(500, 152) = ( 500 x 152 ) / 19000

GCD(500, 152) = 76000 / 19000

GCD(500, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 11

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

LCM(4, 11) = 44

GCD(4, 11) = ( 4 x 11 ) / 44

GCD(4, 11) = 44 / 44

GCD(4, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 500, 152, 11, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 349, 91, 247
• GCD of 668, 540, 30, 474
• GCD of 617, 628, 24, 115
• GCD of 969, 846, 64, 398
• GCD of 146, 977, 93, 478

1. What is the GCD of 500, 152, 11, 553?

GCD of 500, 152, 11, 553 is 1

2. Where do I get the detailed procedure to find GCD of 500, 152, 11, 553?

You can find a detailed procedure to find GCD of 500, 152, 11, 553 on our page.

3. How to find GCD of 500, 152, 11, 553 on a calculator?

You can find the GCD of 500, 152, 11, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.