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 727, 445, 848, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 445, 848, 972 is 1
GCD(727, 445, 848, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 445, 848, 972 is 1
GCD(727, 445, 848, 972) = 1
Given Input numbers are 727, 445, 848, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 727, 445, 848, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 445, 848, 972 is 1.
Therefore, GCD of numbers 727, 445, 848, 972 is 1
Given Input Data is 727, 445, 848, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 445 is 5 x 89
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(727, 445) = 323515
GCD(727, 445) = ( 727 x 445 ) / 323515
GCD(727, 445) = 323515 / 323515
GCD(727, 445) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 727, 445, 848, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 445, 848, 972?
GCD of 727, 445, 848, 972 is 1
2. Where do I get the detailed procedure to find GCD of 727, 445, 848, 972?
You can find a detailed procedure to find GCD of 727, 445, 848, 972 on our page.
3. How to find GCD of 727, 445, 848, 972 on a calculator?
You can find the GCD of 727, 445, 848, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.