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 664, 709, 905, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 709, 905, 261 is 1
GCD(664, 709, 905, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 709, 905, 261 is 1
GCD(664, 709, 905, 261) = 1
Given Input numbers are 664, 709, 905, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 664, 709, 905, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 709, 905, 261 is 1.
Therefore, GCD of numbers 664, 709, 905, 261 is 1
Given Input Data is 664, 709, 905, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 709 is 709
Prime Factorization of 905 is 5 x 181
Prime Factorization of 261 is 3 x 3 x 29
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(664, 709) = 470776
GCD(664, 709) = ( 664 x 709 ) / 470776
GCD(664, 709) = 470776 / 470776
GCD(664, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 664, 709, 905, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 709, 905, 261?
GCD of 664, 709, 905, 261 is 1
2. Where do I get the detailed procedure to find GCD of 664, 709, 905, 261?
You can find a detailed procedure to find GCD of 664, 709, 905, 261 on our page.
3. How to find GCD of 664, 709, 905, 261 on a calculator?
You can find the GCD of 664, 709, 905, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.