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 989, 226, 65, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 226, 65, 380 is 1
GCD(989, 226, 65, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 226, 65, 380 is 1
GCD(989, 226, 65, 380) = 1
Given Input numbers are 989, 226, 65, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 989, 226, 65, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 226, 65, 380 is 1.
Therefore, GCD of numbers 989, 226, 65, 380 is 1
Given Input Data is 989, 226, 65, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 226 is 2 x 113
Prime Factorization of 65 is 5 x 13
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(989, 226) = 223514
GCD(989, 226) = ( 989 x 226 ) / 223514
GCD(989, 226) = 223514 / 223514
GCD(989, 226) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 989, 226, 65, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 226, 65, 380?
GCD of 989, 226, 65, 380 is 1
2. Where do I get the detailed procedure to find GCD of 989, 226, 65, 380?
You can find a detailed procedure to find GCD of 989, 226, 65, 380 on our page.
3. How to find GCD of 989, 226, 65, 380 on a calculator?
You can find the GCD of 989, 226, 65, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.