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 947, 900, 111, 483 i.e. 1 largest integer that divides all the numbers equally.
GCD of 947, 900, 111, 483 is 1
GCD(947, 900, 111, 483) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 947, 900, 111, 483 is 1
GCD(947, 900, 111, 483) = 1
Given Input numbers are 947, 900, 111, 483
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
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
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Greatest Common Divisior
We found the divisors of 947, 900, 111, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 900, 111, 483 is 1.
Therefore, GCD of numbers 947, 900, 111, 483 is 1
Given Input Data is 947, 900, 111, 483
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 947 is 947
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 111 is 3 x 37
Prime Factorization of 483 is 3 x 7 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(947, 900) = 852300
GCD(947, 900) = ( 947 x 900 ) / 852300
GCD(947, 900) = 852300 / 852300
GCD(947, 900) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 483) = 483
GCD(1, 483) = ( 1 x 483 ) / 483
GCD(1, 483) = 483 / 483
GCD(1, 483) = 1
GCD of 947, 900, 111, 483 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 947, 900, 111, 483?
GCD of 947, 900, 111, 483 is 1
2. Where do I get the detailed procedure to find GCD of 947, 900, 111, 483?
You can find a detailed procedure to find GCD of 947, 900, 111, 483 on our page.
3. How to find GCD of 947, 900, 111, 483 on a calculator?
You can find the GCD of 947, 900, 111, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.