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 480, 241, 936, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 241, 936, 780 is 1
GCD(480, 241, 936, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 241, 936, 780 is 1
GCD(480, 241, 936, 780) = 1
Given Input numbers are 480, 241, 936, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 480, 241, 936, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 241, 936, 780 is 1.
Therefore, GCD of numbers 480, 241, 936, 780 is 1
Given Input Data is 480, 241, 936, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 241 is 241
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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(480, 241) = 115680
GCD(480, 241) = ( 480 x 241 ) / 115680
GCD(480, 241) = 115680 / 115680
GCD(480, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 480, 241, 936, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 241, 936, 780?
GCD of 480, 241, 936, 780 is 1
2. Where do I get the detailed procedure to find GCD of 480, 241, 936, 780?
You can find a detailed procedure to find GCD of 480, 241, 936, 780 on our page.
3. How to find GCD of 480, 241, 936, 780 on a calculator?
You can find the GCD of 480, 241, 936, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.