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 493, 157, 355, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 157, 355, 261 is 1
GCD(493, 157, 355, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 157, 355, 261 is 1
GCD(493, 157, 355, 261) = 1
Given Input numbers are 493, 157, 355, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 493, 157, 355, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 157, 355, 261 is 1.
Therefore, GCD of numbers 493, 157, 355, 261 is 1
Given Input Data is 493, 157, 355, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 157 is 157
Prime Factorization of 355 is 5 x 71
Prime Factorization of 261 is 3 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(493, 157) = 77401
GCD(493, 157) = ( 493 x 157 ) / 77401
GCD(493, 157) = 77401 / 77401
GCD(493, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 493, 157, 355, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 157, 355, 261?
GCD of 493, 157, 355, 261 is 1
2. Where do I get the detailed procedure to find GCD of 493, 157, 355, 261?
You can find a detailed procedure to find GCD of 493, 157, 355, 261 on our page.
3. How to find GCD of 493, 157, 355, 261 on a calculator?
You can find the GCD of 493, 157, 355, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.