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 164, 798, 679, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 798, 679, 412 is 1
GCD(164, 798, 679, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 798, 679, 412 is 1
GCD(164, 798, 679, 412) = 1
Given Input numbers are 164, 798, 679, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 164, 798, 679, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 798, 679, 412 is 1.
Therefore, GCD of numbers 164, 798, 679, 412 is 1
Given Input Data is 164, 798, 679, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 679 is 7 x 97
Prime Factorization of 412 is 2 x 2 x 103
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(164, 798) = 65436
GCD(164, 798) = ( 164 x 798 ) / 65436
GCD(164, 798) = 130872 / 65436
GCD(164, 798) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 679) = 1358
GCD(2, 679) = ( 2 x 679 ) / 1358
GCD(2, 679) = 1358 / 1358
GCD(2, 679) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 164, 798, 679, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 798, 679, 412?
GCD of 164, 798, 679, 412 is 1
2. Where do I get the detailed procedure to find GCD of 164, 798, 679, 412?
You can find a detailed procedure to find GCD of 164, 798, 679, 412 on our page.
3. How to find GCD of 164, 798, 679, 412 on a calculator?
You can find the GCD of 164, 798, 679, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.