GCD of 164, 988, 500, 606 Calculator

Given Input numbers are 164, 988, 500, 606

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 164, 988, 500, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 988, 500, 606 is 2.

Therefore, GCD of numbers 164, 988, 500, 606 is 2

Given Input Data is 164, 988, 500, 606

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 606 is 2 x 3 x 101

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(164, 988) = 40508

GCD(164, 988) = ( 164 x 988 ) / 40508

GCD(164, 988) = 162032 / 40508

GCD(164, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 606

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

LCM(4, 606) = 1212

GCD(4, 606) = ( 4 x 606 ) / 1212

GCD(4, 606) = 2424 / 1212

GCD(4, 606) = 2

GCD of 164, 988, 500, 606 is 2

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1. What is the GCD of 164, 988, 500, 606?

GCD of 164, 988, 500, 606 is 2

2. Where do I get the detailed procedure to find GCD of 164, 988, 500, 606?

You can find a detailed procedure to find GCD of 164, 988, 500, 606 on our page.

3. How to find GCD of 164, 988, 500, 606 on a calculator?

You can find the GCD of 164, 988, 500, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.