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, 679, 377, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 679, 377, 838 is 1
GCD(340, 679, 377, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 679, 377, 838 is 1
GCD(340, 679, 377, 838) = 1
Given Input numbers are 340, 679, 377, 838
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 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 340, 679, 377, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 679, 377, 838 is 1.
Therefore, GCD of numbers 340, 679, 377, 838 is 1
Given Input Data is 340, 679, 377, 838
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 679 is 7 x 97
Prime Factorization of 377 is 13 x 29
Prime Factorization of 838 is 2 x 419
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, 679) = 230860
GCD(340, 679) = ( 340 x 679 ) / 230860
GCD(340, 679) = 230860 / 230860
GCD(340, 679) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
GCD(1, 377) = 377 / 377
GCD(1, 377) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 340, 679, 377, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 679, 377, 838?
GCD of 340, 679, 377, 838 is 1
2. Where do I get the detailed procedure to find GCD of 340, 679, 377, 838?
You can find a detailed procedure to find GCD of 340, 679, 377, 838 on our page.
3. How to find GCD of 340, 679, 377, 838 on a calculator?
You can find the GCD of 340, 679, 377, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.