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 214, 177, 73, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 177, 73, 122 is 1
GCD(214, 177, 73, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 177, 73, 122 is 1
GCD(214, 177, 73, 122) = 1
Given Input numbers are 214, 177, 73, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 214, 177, 73, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 177, 73, 122 is 1.
Therefore, GCD of numbers 214, 177, 73, 122 is 1
Given Input Data is 214, 177, 73, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 177 is 3 x 59
Prime Factorization of 73 is 73
Prime Factorization of 122 is 2 x 61
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(214, 177) = 37878
GCD(214, 177) = ( 214 x 177 ) / 37878
GCD(214, 177) = 37878 / 37878
GCD(214, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 214, 177, 73, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 214, 177, 73, 122?
GCD of 214, 177, 73, 122 is 1
2. Where do I get the detailed procedure to find GCD of 214, 177, 73, 122?
You can find a detailed procedure to find GCD of 214, 177, 73, 122 on our page.
3. How to find GCD of 214, 177, 73, 122 on a calculator?
You can find the GCD of 214, 177, 73, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.