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 215, 427, 42, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 427, 42, 853 is 1
GCD(215, 427, 42, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 427, 42, 853 is 1
GCD(215, 427, 42, 853) = 1
Given Input numbers are 215, 427, 42, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 215, 427, 42, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 427, 42, 853 is 1.
Therefore, GCD of numbers 215, 427, 42, 853 is 1
Given Input Data is 215, 427, 42, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 427 is 7 x 61
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 853 is 853
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(215, 427) = 91805
GCD(215, 427) = ( 215 x 427 ) / 91805
GCD(215, 427) = 91805 / 91805
GCD(215, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 215, 427, 42, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 427, 42, 853?
GCD of 215, 427, 42, 853 is 1
2. Where do I get the detailed procedure to find GCD of 215, 427, 42, 853?
You can find a detailed procedure to find GCD of 215, 427, 42, 853 on our page.
3. How to find GCD of 215, 427, 42, 853 on a calculator?
You can find the GCD of 215, 427, 42, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.