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, 923, 557, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 923, 557, 177 is 1
GCD(85, 923, 557, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 923, 557, 177 is 1
GCD(85, 923, 557, 177) = 1
Given Input numbers are 85, 923, 557, 177
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 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 85, 923, 557, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 923, 557, 177 is 1.
Therefore, GCD of numbers 85, 923, 557, 177 is 1
Given Input Data is 85, 923, 557, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 923 is 13 x 71
Prime Factorization of 557 is 557
Prime Factorization of 177 is 3 x 59
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, 923) = 78455
GCD(85, 923) = ( 85 x 923 ) / 78455
GCD(85, 923) = 78455 / 78455
GCD(85, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 85, 923, 557, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 923, 557, 177?
GCD of 85, 923, 557, 177 is 1
2. Where do I get the detailed procedure to find GCD of 85, 923, 557, 177?
You can find a detailed procedure to find GCD of 85, 923, 557, 177 on our page.
3. How to find GCD of 85, 923, 557, 177 on a calculator?
You can find the GCD of 85, 923, 557, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.