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 392, 743, 146, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 743, 146, 185 is 1
GCD(392, 743, 146, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 743, 146, 185 is 1
GCD(392, 743, 146, 185) = 1
Given Input numbers are 392, 743, 146, 185
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 392, 743, 146, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 743, 146, 185 is 1.
Therefore, GCD of numbers 392, 743, 146, 185 is 1
Given Input Data is 392, 743, 146, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 743 is 743
Prime Factorization of 146 is 2 x 73
Prime Factorization of 185 is 5 x 37
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(392, 743) = 291256
GCD(392, 743) = ( 392 x 743 ) / 291256
GCD(392, 743) = 291256 / 291256
GCD(392, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
GCD(1, 185) = 185 / 185
GCD(1, 185) = 1
GCD of 392, 743, 146, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 743, 146, 185?
GCD of 392, 743, 146, 185 is 1
2. Where do I get the detailed procedure to find GCD of 392, 743, 146, 185?
You can find a detailed procedure to find GCD of 392, 743, 146, 185 on our page.
3. How to find GCD of 392, 743, 146, 185 on a calculator?
You can find the GCD of 392, 743, 146, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.