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 212, 348, 227, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 348, 227, 145 is 1
GCD(212, 348, 227, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 348, 227, 145 is 1
GCD(212, 348, 227, 145) = 1
Given Input numbers are 212, 348, 227, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 212, 348, 227, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 348, 227, 145 is 1.
Therefore, GCD of numbers 212, 348, 227, 145 is 1
Given Input Data is 212, 348, 227, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 227 is 227
Prime Factorization of 145 is 5 x 29
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(212, 348) = 18444
GCD(212, 348) = ( 212 x 348 ) / 18444
GCD(212, 348) = 73776 / 18444
GCD(212, 348) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 227) = 908
GCD(4, 227) = ( 4 x 227 ) / 908
GCD(4, 227) = 908 / 908
GCD(4, 227) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 212, 348, 227, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 348, 227, 145?
GCD of 212, 348, 227, 145 is 1
2. Where do I get the detailed procedure to find GCD of 212, 348, 227, 145?
You can find a detailed procedure to find GCD of 212, 348, 227, 145 on our page.
3. How to find GCD of 212, 348, 227, 145 on a calculator?
You can find the GCD of 212, 348, 227, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.