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, 528, 369, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 528, 369, 827 is 1
GCD(85, 528, 369, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 528, 369, 827 is 1
GCD(85, 528, 369, 827) = 1
Given Input numbers are 85, 528, 369, 827
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 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 85, 528, 369, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 528, 369, 827 is 1.
Therefore, GCD of numbers 85, 528, 369, 827 is 1
Given Input Data is 85, 528, 369, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 827 is 827
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, 528) = 44880
GCD(85, 528) = ( 85 x 528 ) / 44880
GCD(85, 528) = 44880 / 44880
GCD(85, 528) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 85, 528, 369, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 528, 369, 827?
GCD of 85, 528, 369, 827 is 1
2. Where do I get the detailed procedure to find GCD of 85, 528, 369, 827?
You can find a detailed procedure to find GCD of 85, 528, 369, 827 on our page.
3. How to find GCD of 85, 528, 369, 827 on a calculator?
You can find the GCD of 85, 528, 369, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.