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, 367, 96, 781 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 367, 96, 781 is 1
GCD(600, 367, 96, 781) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 367, 96, 781 is 1
GCD(600, 367, 96, 781) = 1
Given Input numbers are 600, 367, 96, 781
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 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Greatest Common Divisior
We found the divisors of 600, 367, 96, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 367, 96, 781 is 1.
Therefore, GCD of numbers 600, 367, 96, 781 is 1
Given Input Data is 600, 367, 96, 781
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 367 is 367
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 781 is 11 x 71
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, 367) = 220200
GCD(600, 367) = ( 600 x 367 ) / 220200
GCD(600, 367) = 220200 / 220200
GCD(600, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
GCD of 600, 367, 96, 781 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 367, 96, 781?
GCD of 600, 367, 96, 781 is 1
2. Where do I get the detailed procedure to find GCD of 600, 367, 96, 781?
You can find a detailed procedure to find GCD of 600, 367, 96, 781 on our page.
3. How to find GCD of 600, 367, 96, 781 on a calculator?
You can find the GCD of 600, 367, 96, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.