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 349, 401, 65, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 401, 65, 690 is 1
GCD(349, 401, 65, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 401, 65, 690 is 1
GCD(349, 401, 65, 690) = 1
Given Input numbers are 349, 401, 65, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
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
Greatest Common Divisior
We found the divisors of 349, 401, 65, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 401, 65, 690 is 1.
Therefore, GCD of numbers 349, 401, 65, 690 is 1
Given Input Data is 349, 401, 65, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 401 is 401
Prime Factorization of 65 is 5 x 13
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(349, 401) = 139949
GCD(349, 401) = ( 349 x 401 ) / 139949
GCD(349, 401) = 139949 / 139949
GCD(349, 401) = 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 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
GCD of 349, 401, 65, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 401, 65, 690?
GCD of 349, 401, 65, 690 is 1
2. Where do I get the detailed procedure to find GCD of 349, 401, 65, 690?
You can find a detailed procedure to find GCD of 349, 401, 65, 690 on our page.
3. How to find GCD of 349, 401, 65, 690 on a calculator?
You can find the GCD of 349, 401, 65, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.