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 717, 392, 60, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 392, 60, 298 is 1
GCD(717, 392, 60, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 392, 60, 298 is 1
GCD(717, 392, 60, 298) = 1
Given Input numbers are 717, 392, 60, 298
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 717, 392, 60, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 392, 60, 298 is 1.
Therefore, GCD of numbers 717, 392, 60, 298 is 1
Given Input Data is 717, 392, 60, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 298 is 2 x 149
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(717, 392) = 281064
GCD(717, 392) = ( 717 x 392 ) / 281064
GCD(717, 392) = 281064 / 281064
GCD(717, 392) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 717, 392, 60, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 392, 60, 298?
GCD of 717, 392, 60, 298 is 1
2. Where do I get the detailed procedure to find GCD of 717, 392, 60, 298?
You can find a detailed procedure to find GCD of 717, 392, 60, 298 on our page.
3. How to find GCD of 717, 392, 60, 298 on a calculator?
You can find the GCD of 717, 392, 60, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.