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 898, 827, 32, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 898, 827, 32, 973 is 1
GCD(898, 827, 32, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 898, 827, 32, 973 is 1
GCD(898, 827, 32, 973) = 1
Given Input numbers are 898, 827, 32, 973
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 898, 827, 32, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 827, 32, 973 is 1.
Therefore, GCD of numbers 898, 827, 32, 973 is 1
Given Input Data is 898, 827, 32, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 898 is 2 x 449
Prime Factorization of 827 is 827
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 973 is 7 x 139
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(898, 827) = 742646
GCD(898, 827) = ( 898 x 827 ) / 742646
GCD(898, 827) = 742646 / 742646
GCD(898, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
GCD of 898, 827, 32, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 898, 827, 32, 973?
GCD of 898, 827, 32, 973 is 1
2. Where do I get the detailed procedure to find GCD of 898, 827, 32, 973?
You can find a detailed procedure to find GCD of 898, 827, 32, 973 on our page.
3. How to find GCD of 898, 827, 32, 973 on a calculator?
You can find the GCD of 898, 827, 32, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.