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 852, 473, 270, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 473, 270, 161 is 1
GCD(852, 473, 270, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 473, 270, 161 is 1
GCD(852, 473, 270, 161) = 1
Given Input numbers are 852, 473, 270, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 852, 473, 270, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 473, 270, 161 is 1.
Therefore, GCD of numbers 852, 473, 270, 161 is 1
Given Input Data is 852, 473, 270, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 473 is 11 x 43
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 161 is 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(852, 473) = 402996
GCD(852, 473) = ( 852 x 473 ) / 402996
GCD(852, 473) = 402996 / 402996
GCD(852, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 852, 473, 270, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 473, 270, 161?
GCD of 852, 473, 270, 161 is 1
2. Where do I get the detailed procedure to find GCD of 852, 473, 270, 161?
You can find a detailed procedure to find GCD of 852, 473, 270, 161 on our page.
3. How to find GCD of 852, 473, 270, 161 on a calculator?
You can find the GCD of 852, 473, 270, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.