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 675, 449, 495, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 449, 495, 965 is 1
GCD(675, 449, 495, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 449, 495, 965 is 1
GCD(675, 449, 495, 965) = 1
Given Input numbers are 675, 449, 495, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 675, 449, 495, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 449, 495, 965 is 1.
Therefore, GCD of numbers 675, 449, 495, 965 is 1
Given Input Data is 675, 449, 495, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 449 is 449
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 965 is 5 x 193
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(675, 449) = 303075
GCD(675, 449) = ( 675 x 449 ) / 303075
GCD(675, 449) = 303075 / 303075
GCD(675, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 675, 449, 495, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 449, 495, 965?
GCD of 675, 449, 495, 965 is 1
2. Where do I get the detailed procedure to find GCD of 675, 449, 495, 965?
You can find a detailed procedure to find GCD of 675, 449, 495, 965 on our page.
3. How to find GCD of 675, 449, 495, 965 on a calculator?
You can find the GCD of 675, 449, 495, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.