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 895, 495, 33, 744 i.e. 1 largest integer that divides all the numbers equally.
GCD of 895, 495, 33, 744 is 1
GCD(895, 495, 33, 744) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 895, 495, 33, 744 is 1
GCD(895, 495, 33, 744) = 1
Given Input numbers are 895, 495, 33, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
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 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 895, 495, 33, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 495, 33, 744 is 1.
Therefore, GCD of numbers 895, 495, 33, 744 is 1
Given Input Data is 895, 495, 33, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 895 is 5 x 179
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 33 is 3 x 11
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
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(895, 495) = 88605
GCD(895, 495) = ( 895 x 495 ) / 88605
GCD(895, 495) = 443025 / 88605
GCD(895, 495) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 33) = 165
GCD(5, 33) = ( 5 x 33 ) / 165
GCD(5, 33) = 165 / 165
GCD(5, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
GCD(1, 744) = 744 / 744
GCD(1, 744) = 1
GCD of 895, 495, 33, 744 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 895, 495, 33, 744?
GCD of 895, 495, 33, 744 is 1
2. Where do I get the detailed procedure to find GCD of 895, 495, 33, 744?
You can find a detailed procedure to find GCD of 895, 495, 33, 744 on our page.
3. How to find GCD of 895, 495, 33, 744 on a calculator?
You can find the GCD of 895, 495, 33, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.