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 690, 579, 401, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 579, 401, 343 is 1
GCD(690, 579, 401, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 579, 401, 343 is 1
GCD(690, 579, 401, 343) = 1
Given Input numbers are 690, 579, 401, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 690, 579, 401, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 579, 401, 343 is 1.
Therefore, GCD of numbers 690, 579, 401, 343 is 1
Given Input Data is 690, 579, 401, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 579 is 3 x 193
Prime Factorization of 401 is 401
Prime Factorization of 343 is 7 x 7 x 7
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(690, 579) = 133170
GCD(690, 579) = ( 690 x 579 ) / 133170
GCD(690, 579) = 399510 / 133170
GCD(690, 579) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 401) = 1203
GCD(3, 401) = ( 3 x 401 ) / 1203
GCD(3, 401) = 1203 / 1203
GCD(3, 401) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 690, 579, 401, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 579, 401, 343?
GCD of 690, 579, 401, 343 is 1
2. Where do I get the detailed procedure to find GCD of 690, 579, 401, 343?
You can find a detailed procedure to find GCD of 690, 579, 401, 343 on our page.
3. How to find GCD of 690, 579, 401, 343 on a calculator?
You can find the GCD of 690, 579, 401, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.