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 706, 611, 704, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 611, 704, 339 is 1
GCD(706, 611, 704, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 611, 704, 339 is 1
GCD(706, 611, 704, 339) = 1
Given Input numbers are 706, 611, 704, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 706, 611, 704, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 611, 704, 339 is 1.
Therefore, GCD of numbers 706, 611, 704, 339 is 1
Given Input Data is 706, 611, 704, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 611 is 13 x 47
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 339 is 3 x 113
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(706, 611) = 431366
GCD(706, 611) = ( 706 x 611 ) / 431366
GCD(706, 611) = 431366 / 431366
GCD(706, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 706, 611, 704, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 611, 704, 339?
GCD of 706, 611, 704, 339 is 1
2. Where do I get the detailed procedure to find GCD of 706, 611, 704, 339?
You can find a detailed procedure to find GCD of 706, 611, 704, 339 on our page.
3. How to find GCD of 706, 611, 704, 339 on a calculator?
You can find the GCD of 706, 611, 704, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.