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 945, 734, 33, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 734, 33, 449 is 1
GCD(945, 734, 33, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 734, 33, 449 is 1
GCD(945, 734, 33, 449) = 1
Given Input numbers are 945, 734, 33, 449
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 945, 734, 33, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 734, 33, 449 is 1.
Therefore, GCD of numbers 945, 734, 33, 449 is 1
Given Input Data is 945, 734, 33, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 734 is 2 x 367
Prime Factorization of 33 is 3 x 11
Prime Factorization of 449 is 449
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(945, 734) = 693630
GCD(945, 734) = ( 945 x 734 ) / 693630
GCD(945, 734) = 693630 / 693630
GCD(945, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 945, 734, 33, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 734, 33, 449?
GCD of 945, 734, 33, 449 is 1
2. Where do I get the detailed procedure to find GCD of 945, 734, 33, 449?
You can find a detailed procedure to find GCD of 945, 734, 33, 449 on our page.
3. How to find GCD of 945, 734, 33, 449 on a calculator?
You can find the GCD of 945, 734, 33, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.