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 616, 443, 827, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 443, 827, 900 is 1
GCD(616, 443, 827, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 443, 827, 900 is 1
GCD(616, 443, 827, 900) = 1
Given Input numbers are 616, 443, 827, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 616, 443, 827, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 443, 827, 900 is 1.
Therefore, GCD of numbers 616, 443, 827, 900 is 1
Given Input Data is 616, 443, 827, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 443 is 443
Prime Factorization of 827 is 827
Prime Factorization of 900 is 2 x 2 x 3 x 3 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(616, 443) = 272888
GCD(616, 443) = ( 616 x 443 ) / 272888
GCD(616, 443) = 272888 / 272888
GCD(616, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 616, 443, 827, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 443, 827, 900?
GCD of 616, 443, 827, 900 is 1
2. Where do I get the detailed procedure to find GCD of 616, 443, 827, 900?
You can find a detailed procedure to find GCD of 616, 443, 827, 900 on our page.
3. How to find GCD of 616, 443, 827, 900 on a calculator?
You can find the GCD of 616, 443, 827, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.