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 899, 150, 15, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 899, 150, 15, 973 is 1
GCD(899, 150, 15, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 899, 150, 15, 973 is 1
GCD(899, 150, 15, 973) = 1
Given Input numbers are 899, 150, 15, 973
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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 899, 150, 15, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 150, 15, 973 is 1.
Therefore, GCD of numbers 899, 150, 15, 973 is 1
Given Input Data is 899, 150, 15, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 899 is 29 x 31
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 15 is 3 x 5
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(899, 150) = 134850
GCD(899, 150) = ( 899 x 150 ) / 134850
GCD(899, 150) = 134850 / 134850
GCD(899, 150) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 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 899, 150, 15, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 899, 150, 15, 973?
GCD of 899, 150, 15, 973 is 1
2. Where do I get the detailed procedure to find GCD of 899, 150, 15, 973?
You can find a detailed procedure to find GCD of 899, 150, 15, 973 on our page.
3. How to find GCD of 899, 150, 15, 973 on a calculator?
You can find the GCD of 899, 150, 15, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.