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 609, 408, 565, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 609, 408, 565, 263 is 1
GCD(609, 408, 565, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 609, 408, 565, 263 is 1
GCD(609, 408, 565, 263) = 1
Given Input numbers are 609, 408, 565, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 609, 408, 565, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 408, 565, 263 is 1.
Therefore, GCD of numbers 609, 408, 565, 263 is 1
Given Input Data is 609, 408, 565, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 565 is 5 x 113
Prime Factorization of 263 is 263
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(609, 408) = 82824
GCD(609, 408) = ( 609 x 408 ) / 82824
GCD(609, 408) = 248472 / 82824
GCD(609, 408) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 565) = 1695
GCD(3, 565) = ( 3 x 565 ) / 1695
GCD(3, 565) = 1695 / 1695
GCD(3, 565) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 609, 408, 565, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 609, 408, 565, 263?
GCD of 609, 408, 565, 263 is 1
2. Where do I get the detailed procedure to find GCD of 609, 408, 565, 263?
You can find a detailed procedure to find GCD of 609, 408, 565, 263 on our page.
3. How to find GCD of 609, 408, 565, 263 on a calculator?
You can find the GCD of 609, 408, 565, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.