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, 279, 169, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 279, 169, 179 is 1
GCD(212, 279, 169, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 279, 169, 179 is 1
GCD(212, 279, 169, 179) = 1
Given Input numbers are 212, 279, 169, 179
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 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 212, 279, 169, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 279, 169, 179 is 1.
Therefore, GCD of numbers 212, 279, 169, 179 is 1
Given Input Data is 212, 279, 169, 179
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 279 is 3 x 3 x 31
Prime Factorization of 169 is 13 x 13
Prime Factorization of 179 is 179
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, 279) = 59148
GCD(212, 279) = ( 212 x 279 ) / 59148
GCD(212, 279) = 59148 / 59148
GCD(212, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 212, 279, 169, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 279, 169, 179?
GCD of 212, 279, 169, 179 is 1
2. Where do I get the detailed procedure to find GCD of 212, 279, 169, 179?
You can find a detailed procedure to find GCD of 212, 279, 169, 179 on our page.
3. How to find GCD of 212, 279, 169, 179 on a calculator?
You can find the GCD of 212, 279, 169, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.