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 606, 990, 637, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 606, 990, 637, 144 is 1
GCD(606, 990, 637, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 606, 990, 637, 144 is 1
GCD(606, 990, 637, 144) = 1
Given Input numbers are 606, 990, 637, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 606, 990, 637, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 990, 637, 144 is 1.
Therefore, GCD of numbers 606, 990, 637, 144 is 1
Given Input Data is 606, 990, 637, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(606, 990) = 99990
GCD(606, 990) = ( 606 x 990 ) / 99990
GCD(606, 990) = 599940 / 99990
GCD(606, 990) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 637) = 3822
GCD(6, 637) = ( 6 x 637 ) / 3822
GCD(6, 637) = 3822 / 3822
GCD(6, 637) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 606, 990, 637, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 606, 990, 637, 144?
GCD of 606, 990, 637, 144 is 1
2. Where do I get the detailed procedure to find GCD of 606, 990, 637, 144?
You can find a detailed procedure to find GCD of 606, 990, 637, 144 on our page.
3. How to find GCD of 606, 990, 637, 144 on a calculator?
You can find the GCD of 606, 990, 637, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.