GCD of 500, 880, 44, 103 Calculator

Given Input numbers are 500, 880, 44, 103

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 500, 880, 44, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 880, 44, 103 is 1.

Therefore, GCD of numbers 500, 880, 44, 103 is 1

Given Input Data is 500, 880, 44, 103

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 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 103 is 103

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, 880) = 22000

GCD(500, 880) = ( 500 x 880 ) / 22000

GCD(500, 880) = 440000 / 22000

GCD(500, 880) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 44

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

LCM(20, 44) = 220

GCD(20, 44) = ( 20 x 44 ) / 220

GCD(20, 44) = 880 / 220

GCD(20, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 103

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

LCM(4, 103) = 412

GCD(4, 103) = ( 4 x 103 ) / 412

GCD(4, 103) = 412 / 412

GCD(4, 103) = 1

GCD of 500, 880, 44, 103 is 1

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• GCD of 908, 207, 77, 812
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1. What is the GCD of 500, 880, 44, 103?

GCD of 500, 880, 44, 103 is 1

2. Where do I get the detailed procedure to find GCD of 500, 880, 44, 103?

You can find a detailed procedure to find GCD of 500, 880, 44, 103 on our page.

3. How to find GCD of 500, 880, 44, 103 on a calculator?

You can find the GCD of 500, 880, 44, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.