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, 209, 78, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 209, 78, 926 is 1
GCD(890, 209, 78, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 209, 78, 926 is 1
GCD(890, 209, 78, 926) = 1
Given Input numbers are 890, 209, 78, 926
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 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 890, 209, 78, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 209, 78, 926 is 1.
Therefore, GCD of numbers 890, 209, 78, 926 is 1
Given Input Data is 890, 209, 78, 926
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 209 is 11 x 19
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 926 is 2 x 463
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, 209) = 186010
GCD(890, 209) = ( 890 x 209 ) / 186010
GCD(890, 209) = 186010 / 186010
GCD(890, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 890, 209, 78, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 209, 78, 926?
GCD of 890, 209, 78, 926 is 1
2. Where do I get the detailed procedure to find GCD of 890, 209, 78, 926?
You can find a detailed procedure to find GCD of 890, 209, 78, 926 on our page.
3. How to find GCD of 890, 209, 78, 926 on a calculator?
You can find the GCD of 890, 209, 78, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.