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 665, 425, 49, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 665, 425, 49, 493 is 1
GCD(665, 425, 49, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 665, 425, 49, 493 is 1
GCD(665, 425, 49, 493) = 1
Given Input numbers are 665, 425, 49, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 665, 425, 49, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 425, 49, 493 is 1.
Therefore, GCD of numbers 665, 425, 49, 493 is 1
Given Input Data is 665, 425, 49, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 49 is 7 x 7
Prime Factorization of 493 is 17 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(665, 425) = 56525
GCD(665, 425) = ( 665 x 425 ) / 56525
GCD(665, 425) = 282625 / 56525
GCD(665, 425) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 49) = 245
GCD(5, 49) = ( 5 x 49 ) / 245
GCD(5, 49) = 245 / 245
GCD(5, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 665, 425, 49, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 665, 425, 49, 493?
GCD of 665, 425, 49, 493 is 1
2. Where do I get the detailed procedure to find GCD of 665, 425, 49, 493?
You can find a detailed procedure to find GCD of 665, 425, 49, 493 on our page.
3. How to find GCD of 665, 425, 49, 493 on a calculator?
You can find the GCD of 665, 425, 49, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.