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 474, 897, 933 i.e. 3 largest integer that divides all the numbers equally.
GCD of 474, 897, 933 is 3
GCD(474, 897, 933) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 897, 933 is 3
GCD(474, 897, 933) = 3
Given Input numbers are 474, 897, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 474, 897, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 897, 933 is 3.
Therefore, GCD of numbers 474, 897, 933 is 3
Given Input Data is 474, 897, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 933 is 3 x 311
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(474, 897) = 141726
GCD(474, 897) = ( 474 x 897 ) / 141726
GCD(474, 897) = 425178 / 141726
GCD(474, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 933) = 933
GCD(3, 933) = ( 3 x 933 ) / 933
GCD(3, 933) = 2799 / 933
GCD(3, 933) = 3
GCD of 474, 897, 933 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 897, 933?
GCD of 474, 897, 933 is 3
2. Where do I get the detailed procedure to find GCD of 474, 897, 933?
You can find a detailed procedure to find GCD of 474, 897, 933 on our page.
3. How to find GCD of 474, 897, 933 on a calculator?
You can find the GCD of 474, 897, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.