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 650, 269, 905, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 650, 269, 905, 356 is 1
GCD(650, 269, 905, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 269, 905, 356 is 1
GCD(650, 269, 905, 356) = 1
Given Input numbers are 650, 269, 905, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 650, 269, 905, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 269, 905, 356 is 1.
Therefore, GCD of numbers 650, 269, 905, 356 is 1
Given Input Data is 650, 269, 905, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 269 is 269
Prime Factorization of 905 is 5 x 181
Prime Factorization of 356 is 2 x 2 x 89
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(650, 269) = 174850
GCD(650, 269) = ( 650 x 269 ) / 174850
GCD(650, 269) = 174850 / 174850
GCD(650, 269) = 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 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 650, 269, 905, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 269, 905, 356?
GCD of 650, 269, 905, 356 is 1
2. Where do I get the detailed procedure to find GCD of 650, 269, 905, 356?
You can find a detailed procedure to find GCD of 650, 269, 905, 356 on our page.
3. How to find GCD of 650, 269, 905, 356 on a calculator?
You can find the GCD of 650, 269, 905, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.