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 340, 661, 589, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 661, 589, 434 is 1
GCD(340, 661, 589, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 661, 589, 434 is 1
GCD(340, 661, 589, 434) = 1
Given Input numbers are 340, 661, 589, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 340, 661, 589, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 661, 589, 434 is 1.
Therefore, GCD of numbers 340, 661, 589, 434 is 1
Given Input Data is 340, 661, 589, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 661 is 661
Prime Factorization of 589 is 19 x 31
Prime Factorization of 434 is 2 x 7 x 31
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(340, 661) = 224740
GCD(340, 661) = ( 340 x 661 ) / 224740
GCD(340, 661) = 224740 / 224740
GCD(340, 661) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 340, 661, 589, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 661, 589, 434?
GCD of 340, 661, 589, 434 is 1
2. Where do I get the detailed procedure to find GCD of 340, 661, 589, 434?
You can find a detailed procedure to find GCD of 340, 661, 589, 434 on our page.
3. How to find GCD of 340, 661, 589, 434 on a calculator?
You can find the GCD of 340, 661, 589, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.