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 155, 358, 13, 174 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 358, 13, 174 is 1
GCD(155, 358, 13, 174) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 358, 13, 174 is 1
GCD(155, 358, 13, 174) = 1
Given Input numbers are 155, 358, 13, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 155, 358, 13, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 358, 13, 174 is 1.
Therefore, GCD of numbers 155, 358, 13, 174 is 1
Given Input Data is 155, 358, 13, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 358 is 2 x 179
Prime Factorization of 13 is 13
Prime Factorization of 174 is 2 x 3 x 29
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(155, 358) = 55490
GCD(155, 358) = ( 155 x 358 ) / 55490
GCD(155, 358) = 55490 / 55490
GCD(155, 358) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
GCD of 155, 358, 13, 174 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 358, 13, 174?
GCD of 155, 358, 13, 174 is 1
2. Where do I get the detailed procedure to find GCD of 155, 358, 13, 174?
You can find a detailed procedure to find GCD of 155, 358, 13, 174 on our page.
3. How to find GCD of 155, 358, 13, 174 on a calculator?
You can find the GCD of 155, 358, 13, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.