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, 655, 87, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 655, 87, 955 is 1
GCD(493, 655, 87, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 655, 87, 955 is 1
GCD(493, 655, 87, 955) = 1
Given Input numbers are 493, 655, 87, 955
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 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 493, 655, 87, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 655, 87, 955 is 1.
Therefore, GCD of numbers 493, 655, 87, 955 is 1
Given Input Data is 493, 655, 87, 955
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 655 is 5 x 131
Prime Factorization of 87 is 3 x 29
Prime Factorization of 955 is 5 x 191
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, 655) = 322915
GCD(493, 655) = ( 493 x 655 ) / 322915
GCD(493, 655) = 322915 / 322915
GCD(493, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
GCD of 493, 655, 87, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 655, 87, 955?
GCD of 493, 655, 87, 955 is 1
2. Where do I get the detailed procedure to find GCD of 493, 655, 87, 955?
You can find a detailed procedure to find GCD of 493, 655, 87, 955 on our page.
3. How to find GCD of 493, 655, 87, 955 on a calculator?
You can find the GCD of 493, 655, 87, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.