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 555, 200, 28, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 200, 28, 463 is 1
GCD(555, 200, 28, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 200, 28, 463 is 1
GCD(555, 200, 28, 463) = 1
Given Input numbers are 555, 200, 28, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 555, 200, 28, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 200, 28, 463 is 1.
Therefore, GCD of numbers 555, 200, 28, 463 is 1
Given Input Data is 555, 200, 28, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 463 is 463
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(555, 200) = 22200
GCD(555, 200) = ( 555 x 200 ) / 22200
GCD(555, 200) = 111000 / 22200
GCD(555, 200) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 28) = 140
GCD(5, 28) = ( 5 x 28 ) / 140
GCD(5, 28) = 140 / 140
GCD(5, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 555, 200, 28, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 200, 28, 463?
GCD of 555, 200, 28, 463 is 1
2. Where do I get the detailed procedure to find GCD of 555, 200, 28, 463?
You can find a detailed procedure to find GCD of 555, 200, 28, 463 on our page.
3. How to find GCD of 555, 200, 28, 463 on a calculator?
You can find the GCD of 555, 200, 28, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.