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 696, 162, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 162, 67 is 1
GCD(696, 162, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 162, 67 is 1
GCD(696, 162, 67) = 1
Given Input numbers are 696, 162, 67
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
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 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 696, 162, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 162, 67 is 1.
Therefore, GCD of numbers 696, 162, 67 is 1
Given Input Data is 696, 162, 67
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 67 is 67
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(696, 162) = 18792
GCD(696, 162) = ( 696 x 162 ) / 18792
GCD(696, 162) = 112752 / 18792
GCD(696, 162) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 67) = 402
GCD(6, 67) = ( 6 x 67 ) / 402
GCD(6, 67) = 402 / 402
GCD(6, 67) = 1
GCD of 696, 162, 67 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 162, 67?
GCD of 696, 162, 67 is 1
2. Where do I get the detailed procedure to find GCD of 696, 162, 67?
You can find a detailed procedure to find GCD of 696, 162, 67 on our page.
3. How to find GCD of 696, 162, 67 on a calculator?
You can find the GCD of 696, 162, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.