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 91, 648, 443, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 648, 443, 984 is 1
GCD(91, 648, 443, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 648, 443, 984 is 1
GCD(91, 648, 443, 984) = 1
Given Input numbers are 91, 648, 443, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
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
Greatest Common Divisior
We found the divisors of 91, 648, 443, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 648, 443, 984 is 1.
Therefore, GCD of numbers 91, 648, 443, 984 is 1
Given Input Data is 91, 648, 443, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 443 is 443
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(91, 648) = 58968
GCD(91, 648) = ( 91 x 648 ) / 58968
GCD(91, 648) = 58968 / 58968
GCD(91, 648) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 443
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 443) = 443
GCD(1, 443) = ( 1 x 443 ) / 443
GCD(1, 443) = 443 / 443
GCD(1, 443) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 91, 648, 443, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 648, 443, 984?
GCD of 91, 648, 443, 984 is 1
2. Where do I get the detailed procedure to find GCD of 91, 648, 443, 984?
You can find a detailed procedure to find GCD of 91, 648, 443, 984 on our page.
3. How to find GCD of 91, 648, 443, 984 on a calculator?
You can find the GCD of 91, 648, 443, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.