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 112, 677, 775, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 677, 775, 324 is 1
GCD(112, 677, 775, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 677, 775, 324 is 1
GCD(112, 677, 775, 324) = 1
Given Input numbers are 112, 677, 775, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 112, 677, 775, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 677, 775, 324 is 1.
Therefore, GCD of numbers 112, 677, 775, 324 is 1
Given Input Data is 112, 677, 775, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 677 is 677
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(112, 677) = 75824
GCD(112, 677) = ( 112 x 677 ) / 75824
GCD(112, 677) = 75824 / 75824
GCD(112, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 112, 677, 775, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 677, 775, 324?
GCD of 112, 677, 775, 324 is 1
2. Where do I get the detailed procedure to find GCD of 112, 677, 775, 324?
You can find a detailed procedure to find GCD of 112, 677, 775, 324 on our page.
3. How to find GCD of 112, 677, 775, 324 on a calculator?
You can find the GCD of 112, 677, 775, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.