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 361, 653, 358, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 653, 358, 155 is 1
GCD(361, 653, 358, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 653, 358, 155 is 1
GCD(361, 653, 358, 155) = 1
Given Input numbers are 361, 653, 358, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
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 361, 653, 358, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 653, 358, 155 is 1.
Therefore, GCD of numbers 361, 653, 358, 155 is 1
Given Input Data is 361, 653, 358, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 653 is 653
Prime Factorization of 358 is 2 x 179
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(361, 653) = 235733
GCD(361, 653) = ( 361 x 653 ) / 235733
GCD(361, 653) = 235733 / 235733
GCD(361, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 361, 653, 358, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 653, 358, 155?
GCD of 361, 653, 358, 155 is 1
2. Where do I get the detailed procedure to find GCD of 361, 653, 358, 155?
You can find a detailed procedure to find GCD of 361, 653, 358, 155 on our page.
3. How to find GCD of 361, 653, 358, 155 on a calculator?
You can find the GCD of 361, 653, 358, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.