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 33, 152, 410, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 152, 410, 664 is 1
GCD(33, 152, 410, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 152, 410, 664 is 1
GCD(33, 152, 410, 664) = 1
Given Input numbers are 33, 152, 410, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 33, 152, 410, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 152, 410, 664 is 1.
Therefore, GCD of numbers 33, 152, 410, 664 is 1
Given Input Data is 33, 152, 410, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 664 is 2 x 2 x 2 x 83
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(33, 152) = 5016
GCD(33, 152) = ( 33 x 152 ) / 5016
GCD(33, 152) = 5016 / 5016
GCD(33, 152) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 33, 152, 410, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 152, 410, 664?
GCD of 33, 152, 410, 664 is 1
2. Where do I get the detailed procedure to find GCD of 33, 152, 410, 664?
You can find a detailed procedure to find GCD of 33, 152, 410, 664 on our page.
3. How to find GCD of 33, 152, 410, 664 on a calculator?
You can find the GCD of 33, 152, 410, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.