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 667, 162, 796, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 162, 796, 421 is 1
GCD(667, 162, 796, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 162, 796, 421 is 1
GCD(667, 162, 796, 421) = 1
Given Input numbers are 667, 162, 796, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 667, 162, 796, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 162, 796, 421 is 1.
Therefore, GCD of numbers 667, 162, 796, 421 is 1
Given Input Data is 667, 162, 796, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 421 is 421
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(667, 162) = 108054
GCD(667, 162) = ( 667 x 162 ) / 108054
GCD(667, 162) = 108054 / 108054
GCD(667, 162) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 667, 162, 796, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 162, 796, 421?
GCD of 667, 162, 796, 421 is 1
2. Where do I get the detailed procedure to find GCD of 667, 162, 796, 421?
You can find a detailed procedure to find GCD of 667, 162, 796, 421 on our page.
3. How to find GCD of 667, 162, 796, 421 on a calculator?
You can find the GCD of 667, 162, 796, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.