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, 394, 65, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 394, 65, 664 is 1
GCD(890, 394, 65, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 394, 65, 664 is 1
GCD(890, 394, 65, 664) = 1
Given Input numbers are 890, 394, 65, 664
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 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 890, 394, 65, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 394, 65, 664 is 1.
Therefore, GCD of numbers 890, 394, 65, 664 is 1
Given Input Data is 890, 394, 65, 664
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 394 is 2 x 197
Prime Factorization of 65 is 5 x 13
Prime Factorization of 664 is 2 x 2 x 2 x 83
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, 394) = 175330
GCD(890, 394) = ( 890 x 394 ) / 175330
GCD(890, 394) = 350660 / 175330
GCD(890, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 890, 394, 65, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 394, 65, 664?
GCD of 890, 394, 65, 664 is 1
2. Where do I get the detailed procedure to find GCD of 890, 394, 65, 664?
You can find a detailed procedure to find GCD of 890, 394, 65, 664 on our page.
3. How to find GCD of 890, 394, 65, 664 on a calculator?
You can find the GCD of 890, 394, 65, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.