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 275, 798, 33, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 798, 33, 874 is 1
GCD(275, 798, 33, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 798, 33, 874 is 1
GCD(275, 798, 33, 874) = 1
Given Input numbers are 275, 798, 33, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 275, 798, 33, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 798, 33, 874 is 1.
Therefore, GCD of numbers 275, 798, 33, 874 is 1
Given Input Data is 275, 798, 33, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 33 is 3 x 11
Prime Factorization of 874 is 2 x 19 x 23
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(275, 798) = 219450
GCD(275, 798) = ( 275 x 798 ) / 219450
GCD(275, 798) = 219450 / 219450
GCD(275, 798) = 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 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 275, 798, 33, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 798, 33, 874?
GCD of 275, 798, 33, 874 is 1
2. Where do I get the detailed procedure to find GCD of 275, 798, 33, 874?
You can find a detailed procedure to find GCD of 275, 798, 33, 874 on our page.
3. How to find GCD of 275, 798, 33, 874 on a calculator?
You can find the GCD of 275, 798, 33, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.