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 512, 732, 38, 600 i.e. 2 largest integer that divides all the numbers equally.
GCD of 512, 732, 38, 600 is 2
GCD(512, 732, 38, 600) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 732, 38, 600 is 2
GCD(512, 732, 38, 600) = 2
Given Input numbers are 512, 732, 38, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
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
Greatest Common Divisior
We found the divisors of 512, 732, 38, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 732, 38, 600 is 2.
Therefore, GCD of numbers 512, 732, 38, 600 is 2
Given Input Data is 512, 732, 38, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 38 is 2 x 19
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(512, 732) = 93696
GCD(512, 732) = ( 512 x 732 ) / 93696
GCD(512, 732) = 374784 / 93696
GCD(512, 732) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 38) = 76
GCD(4, 38) = ( 4 x 38 ) / 76
GCD(4, 38) = 152 / 76
GCD(4, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
GCD(2, 600) = 1200 / 600
GCD(2, 600) = 2
GCD of 512, 732, 38, 600 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 512, 732, 38, 600?
GCD of 512, 732, 38, 600 is 2
2. Where do I get the detailed procedure to find GCD of 512, 732, 38, 600?
You can find a detailed procedure to find GCD of 512, 732, 38, 600 on our page.
3. How to find GCD of 512, 732, 38, 600 on a calculator?
You can find the GCD of 512, 732, 38, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.