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 158, 315, 585, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 158, 315, 585, 253 is 1
GCD(158, 315, 585, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 158, 315, 585, 253 is 1
GCD(158, 315, 585, 253) = 1
Given Input numbers are 158, 315, 585, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 158, 315, 585, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 315, 585, 253 is 1.
Therefore, GCD of numbers 158, 315, 585, 253 is 1
Given Input Data is 158, 315, 585, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 158 is 2 x 79
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 253 is 11 x 23
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(158, 315) = 49770
GCD(158, 315) = ( 158 x 315 ) / 49770
GCD(158, 315) = 49770 / 49770
GCD(158, 315) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 158, 315, 585, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 158, 315, 585, 253?
GCD of 158, 315, 585, 253 is 1
2. Where do I get the detailed procedure to find GCD of 158, 315, 585, 253?
You can find a detailed procedure to find GCD of 158, 315, 585, 253 on our page.
3. How to find GCD of 158, 315, 585, 253 on a calculator?
You can find the GCD of 158, 315, 585, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.