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 594, 300, 36, 980 i.e. 2 largest integer that divides all the numbers equally.
GCD of 594, 300, 36, 980 is 2
GCD(594, 300, 36, 980) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 594, 300, 36, 980 is 2
GCD(594, 300, 36, 980) = 2
Given Input numbers are 594, 300, 36, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 594, 300, 36, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 300, 36, 980 is 2.
Therefore, GCD of numbers 594, 300, 36, 980 is 2
Given Input Data is 594, 300, 36, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(594, 300) = 29700
GCD(594, 300) = ( 594 x 300 ) / 29700
GCD(594, 300) = 178200 / 29700
GCD(594, 300) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 36) = 36
GCD(6, 36) = ( 6 x 36 ) / 36
GCD(6, 36) = 216 / 36
GCD(6, 36) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 980) = 2940
GCD(6, 980) = ( 6 x 980 ) / 2940
GCD(6, 980) = 5880 / 2940
GCD(6, 980) = 2
GCD of 594, 300, 36, 980 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 594, 300, 36, 980?
GCD of 594, 300, 36, 980 is 2
2. Where do I get the detailed procedure to find GCD of 594, 300, 36, 980?
You can find a detailed procedure to find GCD of 594, 300, 36, 980 on our page.
3. How to find GCD of 594, 300, 36, 980 on a calculator?
You can find the GCD of 594, 300, 36, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.