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 968, 480, 786, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 968, 480, 786, 463 is 1
GCD(968, 480, 786, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 480, 786, 463 is 1
GCD(968, 480, 786, 463) = 1
Given Input numbers are 968, 480, 786, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 968, 480, 786, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 480, 786, 463 is 1.
Therefore, GCD of numbers 968, 480, 786, 463 is 1
Given Input Data is 968, 480, 786, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 463 is 463
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(968, 480) = 58080
GCD(968, 480) = ( 968 x 480 ) / 58080
GCD(968, 480) = 464640 / 58080
GCD(968, 480) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 786) = 3144
GCD(8, 786) = ( 8 x 786 ) / 3144
GCD(8, 786) = 6288 / 3144
GCD(8, 786) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 463) = 926
GCD(2, 463) = ( 2 x 463 ) / 926
GCD(2, 463) = 926 / 926
GCD(2, 463) = 1
GCD of 968, 480, 786, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 480, 786, 463?
GCD of 968, 480, 786, 463 is 1
2. Where do I get the detailed procedure to find GCD of 968, 480, 786, 463?
You can find a detailed procedure to find GCD of 968, 480, 786, 463 on our page.
3. How to find GCD of 968, 480, 786, 463 on a calculator?
You can find the GCD of 968, 480, 786, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.