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 176, 976, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 976, 985 is 1
GCD(176, 976, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 976, 985 is 1
GCD(176, 976, 985) = 1
Given Input numbers are 176, 976, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 176, 976, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 976, 985 is 1.
Therefore, GCD of numbers 176, 976, 985 is 1
Given Input Data is 176, 976, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 985 is 5 x 197
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(176, 976) = 10736
GCD(176, 976) = ( 176 x 976 ) / 10736
GCD(176, 976) = 171776 / 10736
GCD(176, 976) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 985) = 15760
GCD(16, 985) = ( 16 x 985 ) / 15760
GCD(16, 985) = 15760 / 15760
GCD(16, 985) = 1
GCD of 176, 976, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 976, 985?
GCD of 176, 976, 985 is 1
2. Where do I get the detailed procedure to find GCD of 176, 976, 985?
You can find a detailed procedure to find GCD of 176, 976, 985 on our page.
3. How to find GCD of 176, 976, 985 on a calculator?
You can find the GCD of 176, 976, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.