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, 171, 61, 881 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 171, 61, 881 is 1
GCD(852, 171, 61, 881) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 171, 61, 881 is 1
GCD(852, 171, 61, 881) = 1
Given Input numbers are 852, 171, 61, 881
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 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Greatest Common Divisior
We found the divisors of 852, 171, 61, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 171, 61, 881 is 1.
Therefore, GCD of numbers 852, 171, 61, 881 is 1
Given Input Data is 852, 171, 61, 881
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 171 is 3 x 3 x 19
Prime Factorization of 61 is 61
Prime Factorization of 881 is 881
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, 171) = 48564
GCD(852, 171) = ( 852 x 171 ) / 48564
GCD(852, 171) = 145692 / 48564
GCD(852, 171) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 61) = 183
GCD(3, 61) = ( 3 x 61 ) / 183
GCD(3, 61) = 183 / 183
GCD(3, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 881) = 881
GCD(1, 881) = ( 1 x 881 ) / 881
GCD(1, 881) = 881 / 881
GCD(1, 881) = 1
GCD of 852, 171, 61, 881 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 171, 61, 881?
GCD of 852, 171, 61, 881 is 1
2. Where do I get the detailed procedure to find GCD of 852, 171, 61, 881?
You can find a detailed procedure to find GCD of 852, 171, 61, 881 on our page.
3. How to find GCD of 852, 171, 61, 881 on a calculator?
You can find the GCD of 852, 171, 61, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.