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 600, 962, 41, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 962, 41, 484 is 1
GCD(600, 962, 41, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 962, 41, 484 is 1
GCD(600, 962, 41, 484) = 1
Given Input numbers are 600, 962, 41, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 600, 962, 41, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 962, 41, 484 is 1.
Therefore, GCD of numbers 600, 962, 41, 484 is 1
Given Input Data is 600, 962, 41, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 41 is 41
Prime Factorization of 484 is 2 x 2 x 11 x 11
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(600, 962) = 288600
GCD(600, 962) = ( 600 x 962 ) / 288600
GCD(600, 962) = 577200 / 288600
GCD(600, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 600, 962, 41, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 962, 41, 484?
GCD of 600, 962, 41, 484 is 1
2. Where do I get the detailed procedure to find GCD of 600, 962, 41, 484?
You can find a detailed procedure to find GCD of 600, 962, 41, 484 on our page.
3. How to find GCD of 600, 962, 41, 484 on a calculator?
You can find the GCD of 600, 962, 41, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.