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 85, 717, 199, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 717, 199, 265 is 1
GCD(85, 717, 199, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 717, 199, 265 is 1
GCD(85, 717, 199, 265) = 1
Given Input numbers are 85, 717, 199, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 85, 717, 199, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 717, 199, 265 is 1.
Therefore, GCD of numbers 85, 717, 199, 265 is 1
Given Input Data is 85, 717, 199, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 717 is 3 x 239
Prime Factorization of 199 is 199
Prime Factorization of 265 is 5 x 53
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(85, 717) = 60945
GCD(85, 717) = ( 85 x 717 ) / 60945
GCD(85, 717) = 60945 / 60945
GCD(85, 717) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
GCD of 85, 717, 199, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 717, 199, 265?
GCD of 85, 717, 199, 265 is 1
2. Where do I get the detailed procedure to find GCD of 85, 717, 199, 265?
You can find a detailed procedure to find GCD of 85, 717, 199, 265 on our page.
3. How to find GCD of 85, 717, 199, 265 on a calculator?
You can find the GCD of 85, 717, 199, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.