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 711, 706, 304, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 706, 304, 160 is 1
GCD(711, 706, 304, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 706, 304, 160 is 1
GCD(711, 706, 304, 160) = 1
Given Input numbers are 711, 706, 304, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 711, 706, 304, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 706, 304, 160 is 1.
Therefore, GCD of numbers 711, 706, 304, 160 is 1
Given Input Data is 711, 706, 304, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 706 is 2 x 353
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(711, 706) = 501966
GCD(711, 706) = ( 711 x 706 ) / 501966
GCD(711, 706) = 501966 / 501966
GCD(711, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 711, 706, 304, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 706, 304, 160?
GCD of 711, 706, 304, 160 is 1
2. Where do I get the detailed procedure to find GCD of 711, 706, 304, 160?
You can find a detailed procedure to find GCD of 711, 706, 304, 160 on our page.
3. How to find GCD of 711, 706, 304, 160 on a calculator?
You can find the GCD of 711, 706, 304, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.