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 343, 889, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 889, 521 is 1
GCD(343, 889, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 889, 521 is 1
GCD(343, 889, 521) = 1
Given Input numbers are 343, 889, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 343, 889, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 889, 521 is 1.
Therefore, GCD of numbers 343, 889, 521 is 1
Given Input Data is 343, 889, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 889 is 7 x 127
Prime Factorization of 521 is 521
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(343, 889) = 43561
GCD(343, 889) = ( 343 x 889 ) / 43561
GCD(343, 889) = 304927 / 43561
GCD(343, 889) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 521) = 3647
GCD(7, 521) = ( 7 x 521 ) / 3647
GCD(7, 521) = 3647 / 3647
GCD(7, 521) = 1
GCD of 343, 889, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 889, 521?
GCD of 343, 889, 521 is 1
2. Where do I get the detailed procedure to find GCD of 343, 889, 521?
You can find a detailed procedure to find GCD of 343, 889, 521 on our page.
3. How to find GCD of 343, 889, 521 on a calculator?
You can find the GCD of 343, 889, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.