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, 285, 745, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 285, 745, 247 is 1
GCD(85, 285, 745, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 285, 745, 247 is 1
GCD(85, 285, 745, 247) = 1
Given Input numbers are 85, 285, 745, 247
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 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 85, 285, 745, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 285, 745, 247 is 1.
Therefore, GCD of numbers 85, 285, 745, 247 is 1
Given Input Data is 85, 285, 745, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 745 is 5 x 149
Prime Factorization of 247 is 13 x 19
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, 285) = 4845
GCD(85, 285) = ( 85 x 285 ) / 4845
GCD(85, 285) = 24225 / 4845
GCD(85, 285) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 745) = 745
GCD(5, 745) = ( 5 x 745 ) / 745
GCD(5, 745) = 3725 / 745
GCD(5, 745) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 247) = 1235
GCD(5, 247) = ( 5 x 247 ) / 1235
GCD(5, 247) = 1235 / 1235
GCD(5, 247) = 1
GCD of 85, 285, 745, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 285, 745, 247?
GCD of 85, 285, 745, 247 is 1
2. Where do I get the detailed procedure to find GCD of 85, 285, 745, 247?
You can find a detailed procedure to find GCD of 85, 285, 745, 247 on our page.
3. How to find GCD of 85, 285, 745, 247 on a calculator?
You can find the GCD of 85, 285, 745, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.