Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 164, 988, 500, 606 i.e. 2 largest integer that divides all the numbers equally.
GCD of 164, 988, 500, 606 is 2
GCD(164, 988, 500, 606) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 988, 500, 606 is 2
GCD(164, 988, 500, 606) = 2
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
Here are some samples of GCD of Numbers calculations.
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.