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, 23, 34, 87 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 23, 34, 87 is 1
GCD(33, 23, 34, 87) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 23, 34, 87 is 1
GCD(33, 23, 34, 87) = 1
Given Input numbers are 33, 23, 34, 87
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 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Greatest Common Divisior
We found the divisors of 33, 23, 34, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 23, 34, 87 is 1.
Therefore, GCD of numbers 33, 23, 34, 87 is 1
Given Input Data is 33, 23, 34, 87
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 23 is 23
Prime Factorization of 34 is 2 x 17
Prime Factorization of 87 is 3 x 29
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, 23) = 759
GCD(33, 23) = ( 33 x 23 ) / 759
GCD(33, 23) = 759 / 759
GCD(33, 23) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
GCD of 33, 23, 34, 87 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 23, 34, 87?
GCD of 33, 23, 34, 87 is 1
2. Where do I get the detailed procedure to find GCD of 33, 23, 34, 87?
You can find a detailed procedure to find GCD of 33, 23, 34, 87 on our page.
3. How to find GCD of 33, 23, 34, 87 on a calculator?
You can find the GCD of 33, 23, 34, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.