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 900, 161, 81, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 161, 81, 347 is 1
GCD(900, 161, 81, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 161, 81, 347 is 1
GCD(900, 161, 81, 347) = 1
Given Input numbers are 900, 161, 81, 347
To find the GCD of numbers using factoring list out all the divisors of each number
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 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 900, 161, 81, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 161, 81, 347 is 1.
Therefore, GCD of numbers 900, 161, 81, 347 is 1
Given Input Data is 900, 161, 81, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 161 is 7 x 23
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 347 is 347
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(900, 161) = 144900
GCD(900, 161) = ( 900 x 161 ) / 144900
GCD(900, 161) = 144900 / 144900
GCD(900, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 900, 161, 81, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 161, 81, 347?
GCD of 900, 161, 81, 347 is 1
2. Where do I get the detailed procedure to find GCD of 900, 161, 81, 347?
You can find a detailed procedure to find GCD of 900, 161, 81, 347 on our page.
3. How to find GCD of 900, 161, 81, 347 on a calculator?
You can find the GCD of 900, 161, 81, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.