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, 343, 129, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 343, 129, 997 is 1
GCD(890, 343, 129, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 343, 129, 997 is 1
GCD(890, 343, 129, 997) = 1
Given Input numbers are 890, 343, 129, 997
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 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 890, 343, 129, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 343, 129, 997 is 1.
Therefore, GCD of numbers 890, 343, 129, 997 is 1
Given Input Data is 890, 343, 129, 997
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 343 is 7 x 7 x 7
Prime Factorization of 129 is 3 x 43
Prime Factorization of 997 is 997
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, 343) = 305270
GCD(890, 343) = ( 890 x 343 ) / 305270
GCD(890, 343) = 305270 / 305270
GCD(890, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 890, 343, 129, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 343, 129, 997?
GCD of 890, 343, 129, 997 is 1
2. Where do I get the detailed procedure to find GCD of 890, 343, 129, 997?
You can find a detailed procedure to find GCD of 890, 343, 129, 997 on our page.
3. How to find GCD of 890, 343, 129, 997 on a calculator?
You can find the GCD of 890, 343, 129, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.