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 400, 284, 47, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 284, 47, 552 is 1
GCD(400, 284, 47, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 284, 47, 552 is 1
GCD(400, 284, 47, 552) = 1
Given Input numbers are 400, 284, 47, 552
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 400, 284, 47, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 284, 47, 552 is 1.
Therefore, GCD of numbers 400, 284, 47, 552 is 1
Given Input Data is 400, 284, 47, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 47 is 47
Prime Factorization of 552 is 2 x 2 x 2 x 3 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(400, 284) = 28400
GCD(400, 284) = ( 400 x 284 ) / 28400
GCD(400, 284) = 113600 / 28400
GCD(400, 284) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 400, 284, 47, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 284, 47, 552?
GCD of 400, 284, 47, 552 is 1
2. Where do I get the detailed procedure to find GCD of 400, 284, 47, 552?
You can find a detailed procedure to find GCD of 400, 284, 47, 552 on our page.
3. How to find GCD of 400, 284, 47, 552 on a calculator?
You can find the GCD of 400, 284, 47, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.