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 47, 450, 905, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 450, 905, 105 is 1
GCD(47, 450, 905, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 450, 905, 105 is 1
GCD(47, 450, 905, 105) = 1
Given Input numbers are 47, 450, 905, 105
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 47, 450, 905, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 450, 905, 105 is 1.
Therefore, GCD of numbers 47, 450, 905, 105 is 1
Given Input Data is 47, 450, 905, 105
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 905 is 5 x 181
Prime Factorization of 105 is 3 x 5 x 7
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(47, 450) = 21150
GCD(47, 450) = ( 47 x 450 ) / 21150
GCD(47, 450) = 21150 / 21150
GCD(47, 450) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 47, 450, 905, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 450, 905, 105?
GCD of 47, 450, 905, 105 is 1
2. Where do I get the detailed procedure to find GCD of 47, 450, 905, 105?
You can find a detailed procedure to find GCD of 47, 450, 905, 105 on our page.
3. How to find GCD of 47, 450, 905, 105 on a calculator?
You can find the GCD of 47, 450, 905, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.