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, 663, 372, 477 i.e. 3 largest integer that divides all the numbers equally.
GCD of 600, 663, 372, 477 is 3
GCD(600, 663, 372, 477) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 663, 372, 477 is 3
GCD(600, 663, 372, 477) = 3
Given Input numbers are 600, 663, 372, 477
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 600, 663, 372, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 663, 372, 477 is 3.
Therefore, GCD of numbers 600, 663, 372, 477 is 3
Given Input Data is 600, 663, 372, 477
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 663 is 3 x 13 x 17
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 477 is 3 x 3 x 53
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 663) = 132600
GCD(600, 663) = ( 600 x 663 ) / 132600
GCD(600, 663) = 397800 / 132600
GCD(600, 663) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
GCD(3, 372) = 1116 / 372
GCD(3, 372) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
GCD(3, 477) = 1431 / 477
GCD(3, 477) = 3
GCD of 600, 663, 372, 477 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 663, 372, 477?
GCD of 600, 663, 372, 477 is 3
2. Where do I get the detailed procedure to find GCD of 600, 663, 372, 477?
You can find a detailed procedure to find GCD of 600, 663, 372, 477 on our page.
3. How to find GCD of 600, 663, 372, 477 on a calculator?
You can find the GCD of 600, 663, 372, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.