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 659, 923, 13, 890 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 923, 13, 890 is 1
GCD(659, 923, 13, 890) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 923, 13, 890 is 1
GCD(659, 923, 13, 890) = 1
Given Input numbers are 659, 923, 13, 890
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Greatest Common Divisior
We found the divisors of 659, 923, 13, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 923, 13, 890 is 1.
Therefore, GCD of numbers 659, 923, 13, 890 is 1
Given Input Data is 659, 923, 13, 890
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 923 is 13 x 71
Prime Factorization of 13 is 13
Prime Factorization of 890 is 2 x 5 x 89
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(659, 923) = 608257
GCD(659, 923) = ( 659 x 923 ) / 608257
GCD(659, 923) = 608257 / 608257
GCD(659, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
GCD of 659, 923, 13, 890 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 923, 13, 890?
GCD of 659, 923, 13, 890 is 1
2. Where do I get the detailed procedure to find GCD of 659, 923, 13, 890?
You can find a detailed procedure to find GCD of 659, 923, 13, 890 on our page.
3. How to find GCD of 659, 923, 13, 890 on a calculator?
You can find the GCD of 659, 923, 13, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.