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 841, 473, 450, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 841, 473, 450, 162 is 1
GCD(841, 473, 450, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 841, 473, 450, 162 is 1
GCD(841, 473, 450, 162) = 1
Given Input numbers are 841, 473, 450, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
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 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 841, 473, 450, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 473, 450, 162 is 1.
Therefore, GCD of numbers 841, 473, 450, 162 is 1
Given Input Data is 841, 473, 450, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 841 is 29 x 29
Prime Factorization of 473 is 11 x 43
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(841, 473) = 397793
GCD(841, 473) = ( 841 x 473 ) / 397793
GCD(841, 473) = 397793 / 397793
GCD(841, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 841, 473, 450, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 841, 473, 450, 162?
GCD of 841, 473, 450, 162 is 1
2. Where do I get the detailed procedure to find GCD of 841, 473, 450, 162?
You can find a detailed procedure to find GCD of 841, 473, 450, 162 on our page.
3. How to find GCD of 841, 473, 450, 162 on a calculator?
You can find the GCD of 841, 473, 450, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.