GCD of 109, 250, 43, 488 Calculator

Given Input numbers are 109, 250, 43, 488

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

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

Greatest Common Divisior

We found the divisors of 109, 250, 43, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 250, 43, 488 is 1.

Therefore, GCD of numbers 109, 250, 43, 488 is 1

Given Input Data is 109, 250, 43, 488

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

Prime Factorization of 109 is 109

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 43 is 43

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(109, 250) = 27250

GCD(109, 250) = ( 109 x 250 ) / 27250

GCD(109, 250) = 27250 / 27250

GCD(109, 250) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 109, 250, 43, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 159, 51, 266
• GCD of 752, 165, 33, 565
• GCD of 903, 493, 47, 766
• GCD of 719, 642, 35, 984
• GCD of 226, 150, 20, 252

1. What is the GCD of 109, 250, 43, 488?

GCD of 109, 250, 43, 488 is 1

2. Where do I get the detailed procedure to find GCD of 109, 250, 43, 488?

You can find a detailed procedure to find GCD of 109, 250, 43, 488 on our page.

3. How to find GCD of 109, 250, 43, 488 on a calculator?

You can find the GCD of 109, 250, 43, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.