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 933, 643, 48, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 933, 643, 48, 400 is 1
GCD(933, 643, 48, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 933, 643, 48, 400 is 1
GCD(933, 643, 48, 400) = 1
Given Input numbers are 933, 643, 48, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 933, 643, 48, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 643, 48, 400 is 1.
Therefore, GCD of numbers 933, 643, 48, 400 is 1
Given Input Data is 933, 643, 48, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 933 is 3 x 311
Prime Factorization of 643 is 643
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(933, 643) = 599919
GCD(933, 643) = ( 933 x 643 ) / 599919
GCD(933, 643) = 599919 / 599919
GCD(933, 643) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 933, 643, 48, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 933, 643, 48, 400?
GCD of 933, 643, 48, 400 is 1
2. Where do I get the detailed procedure to find GCD of 933, 643, 48, 400?
You can find a detailed procedure to find GCD of 933, 643, 48, 400 on our page.
3. How to find GCD of 933, 643, 48, 400 on a calculator?
You can find the GCD of 933, 643, 48, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.