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 890, 166, 44, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 166, 44, 787 is 1
GCD(890, 166, 44, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 166, 44, 787 is 1
GCD(890, 166, 44, 787) = 1
Given Input numbers are 890, 166, 44, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 890, 166, 44, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 166, 44, 787 is 1.
Therefore, GCD of numbers 890, 166, 44, 787 is 1
Given Input Data is 890, 166, 44, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 166 is 2 x 83
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 787 is 787
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(890, 166) = 73870
GCD(890, 166) = ( 890 x 166 ) / 73870
GCD(890, 166) = 147740 / 73870
GCD(890, 166) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 44) = 44
GCD(2, 44) = ( 2 x 44 ) / 44
GCD(2, 44) = 88 / 44
GCD(2, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 787) = 1574
GCD(2, 787) = ( 2 x 787 ) / 1574
GCD(2, 787) = 1574 / 1574
GCD(2, 787) = 1
GCD of 890, 166, 44, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 166, 44, 787?
GCD of 890, 166, 44, 787 is 1
2. Where do I get the detailed procedure to find GCD of 890, 166, 44, 787?
You can find a detailed procedure to find GCD of 890, 166, 44, 787 on our page.
3. How to find GCD of 890, 166, 44, 787 on a calculator?
You can find the GCD of 890, 166, 44, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.