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 31, 794, 148, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 794, 148, 176 is 1
GCD(31, 794, 148, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 794, 148, 176 is 1
GCD(31, 794, 148, 176) = 1
Given Input numbers are 31, 794, 148, 176
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
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
Greatest Common Divisior
We found the divisors of 31, 794, 148, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 794, 148, 176 is 1.
Therefore, GCD of numbers 31, 794, 148, 176 is 1
Given Input Data is 31, 794, 148, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 794 is 2 x 397
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
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(31, 794) = 24614
GCD(31, 794) = ( 31 x 794 ) / 24614
GCD(31, 794) = 24614 / 24614
GCD(31, 794) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
GCD of 31, 794, 148, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 794, 148, 176?
GCD of 31, 794, 148, 176 is 1
2. Where do I get the detailed procedure to find GCD of 31, 794, 148, 176?
You can find a detailed procedure to find GCD of 31, 794, 148, 176 on our page.
3. How to find GCD of 31, 794, 148, 176 on a calculator?
You can find the GCD of 31, 794, 148, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.