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 483, 400, 56, 828 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 400, 56, 828 is 1
GCD(483, 400, 56, 828) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 400, 56, 828 is 1
GCD(483, 400, 56, 828) = 1
Given Input numbers are 483, 400, 56, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
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 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 483, 400, 56, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 400, 56, 828 is 1.
Therefore, GCD of numbers 483, 400, 56, 828 is 1
Given Input Data is 483, 400, 56, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 828 is 2 x 2 x 3 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(483, 400) = 193200
GCD(483, 400) = ( 483 x 400 ) / 193200
GCD(483, 400) = 193200 / 193200
GCD(483, 400) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
GCD of 483, 400, 56, 828 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 400, 56, 828?
GCD of 483, 400, 56, 828 is 1
2. Where do I get the detailed procedure to find GCD of 483, 400, 56, 828?
You can find a detailed procedure to find GCD of 483, 400, 56, 828 on our page.
3. How to find GCD of 483, 400, 56, 828 on a calculator?
You can find the GCD of 483, 400, 56, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.