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 240, 783, 50, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 783, 50, 335 is 1
GCD(240, 783, 50, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 783, 50, 335 is 1
GCD(240, 783, 50, 335) = 1
Given Input numbers are 240, 783, 50, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 240, 783, 50, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 783, 50, 335 is 1.
Therefore, GCD of numbers 240, 783, 50, 335 is 1
Given Input Data is 240, 783, 50, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 335 is 5 x 67
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(240, 783) = 62640
GCD(240, 783) = ( 240 x 783 ) / 62640
GCD(240, 783) = 187920 / 62640
GCD(240, 783) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 50) = 150
GCD(3, 50) = ( 3 x 50 ) / 150
GCD(3, 50) = 150 / 150
GCD(3, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 240, 783, 50, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 783, 50, 335?
GCD of 240, 783, 50, 335 is 1
2. Where do I get the detailed procedure to find GCD of 240, 783, 50, 335?
You can find a detailed procedure to find GCD of 240, 783, 50, 335 on our page.
3. How to find GCD of 240, 783, 50, 335 on a calculator?
You can find the GCD of 240, 783, 50, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.