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, 798, 20, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 798, 20, 155 is 1
GCD(696, 798, 20, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 798, 20, 155 is 1
GCD(696, 798, 20, 155) = 1
Given Input numbers are 696, 798, 20, 155
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 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 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 696, 798, 20, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 798, 20, 155 is 1.
Therefore, GCD of numbers 696, 798, 20, 155 is 1
Given Input Data is 696, 798, 20, 155
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 798 is 2 x 3 x 7 x 19
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 155 is 5 x 31
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, 798) = 92568
GCD(696, 798) = ( 696 x 798 ) / 92568
GCD(696, 798) = 555408 / 92568
GCD(696, 798) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 20) = 60
GCD(6, 20) = ( 6 x 20 ) / 60
GCD(6, 20) = 120 / 60
GCD(6, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 155) = 310
GCD(2, 155) = ( 2 x 155 ) / 310
GCD(2, 155) = 310 / 310
GCD(2, 155) = 1
GCD of 696, 798, 20, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 798, 20, 155?
GCD of 696, 798, 20, 155 is 1
2. Where do I get the detailed procedure to find GCD of 696, 798, 20, 155?
You can find a detailed procedure to find GCD of 696, 798, 20, 155 on our page.
3. How to find GCD of 696, 798, 20, 155 on a calculator?
You can find the GCD of 696, 798, 20, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.