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 759, 468, 706, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 468, 706, 471 is 1
GCD(759, 468, 706, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 468, 706, 471 is 1
GCD(759, 468, 706, 471) = 1
Given Input numbers are 759, 468, 706, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 759, 468, 706, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 468, 706, 471 is 1.
Therefore, GCD of numbers 759, 468, 706, 471 is 1
Given Input Data is 759, 468, 706, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 706 is 2 x 353
Prime Factorization of 471 is 3 x 157
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(759, 468) = 118404
GCD(759, 468) = ( 759 x 468 ) / 118404
GCD(759, 468) = 355212 / 118404
GCD(759, 468) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 706) = 2118
GCD(3, 706) = ( 3 x 706 ) / 2118
GCD(3, 706) = 2118 / 2118
GCD(3, 706) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 759, 468, 706, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 468, 706, 471?
GCD of 759, 468, 706, 471 is 1
2. Where do I get the detailed procedure to find GCD of 759, 468, 706, 471?
You can find a detailed procedure to find GCD of 759, 468, 706, 471 on our page.
3. How to find GCD of 759, 468, 706, 471 on a calculator?
You can find the GCD of 759, 468, 706, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.