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 72, 984, 470, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 984, 470, 963 is 1
GCD(72, 984, 470, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 984, 470, 963 is 1
GCD(72, 984, 470, 963) = 1
Given Input numbers are 72, 984, 470, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 72, 984, 470, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 984, 470, 963 is 1.
Therefore, GCD of numbers 72, 984, 470, 963 is 1
Given Input Data is 72, 984, 470, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 963 is 3 x 3 x 107
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(72, 984) = 2952
GCD(72, 984) = ( 72 x 984 ) / 2952
GCD(72, 984) = 70848 / 2952
GCD(72, 984) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 470) = 5640
GCD(24, 470) = ( 24 x 470 ) / 5640
GCD(24, 470) = 11280 / 5640
GCD(24, 470) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 963) = 1926
GCD(2, 963) = ( 2 x 963 ) / 1926
GCD(2, 963) = 1926 / 1926
GCD(2, 963) = 1
GCD of 72, 984, 470, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 984, 470, 963?
GCD of 72, 984, 470, 963 is 1
2. Where do I get the detailed procedure to find GCD of 72, 984, 470, 963?
You can find a detailed procedure to find GCD of 72, 984, 470, 963 on our page.
3. How to find GCD of 72, 984, 470, 963 on a calculator?
You can find the GCD of 72, 984, 470, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.