GCD of 500, 167, 109, 848 Calculator

Given Input numbers are 500, 167, 109, 848

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 109

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

1, 109

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 500, 167, 109, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 167, 109, 848 is 1.

Therefore, GCD of numbers 500, 167, 109, 848 is 1

Given Input Data is 500, 167, 109, 848

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 167 is 167

Prime Factorization of 109 is 109

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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, 167) = 83500

GCD(500, 167) = ( 500 x 167 ) / 83500

GCD(500, 167) = 83500 / 83500

GCD(500, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 500, 167, 109, 848 is 1

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1. What is the GCD of 500, 167, 109, 848?

GCD of 500, 167, 109, 848 is 1

2. Where do I get the detailed procedure to find GCD of 500, 167, 109, 848?

You can find a detailed procedure to find GCD of 500, 167, 109, 848 on our page.

3. How to find GCD of 500, 167, 109, 848 on a calculator?

You can find the GCD of 500, 167, 109, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.