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 732, 849, 164, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 849, 164, 392 is 1
GCD(732, 849, 164, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 849, 164, 392 is 1
GCD(732, 849, 164, 392) = 1
Given Input numbers are 732, 849, 164, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
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
Greatest Common Divisior
We found the divisors of 732, 849, 164, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 849, 164, 392 is 1.
Therefore, GCD of numbers 732, 849, 164, 392 is 1
Given Input Data is 732, 849, 164, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 849 is 3 x 283
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(732, 849) = 207156
GCD(732, 849) = ( 732 x 849 ) / 207156
GCD(732, 849) = 621468 / 207156
GCD(732, 849) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 164) = 492
GCD(3, 164) = ( 3 x 164 ) / 492
GCD(3, 164) = 492 / 492
GCD(3, 164) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 732, 849, 164, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 849, 164, 392?
GCD of 732, 849, 164, 392 is 1
2. Where do I get the detailed procedure to find GCD of 732, 849, 164, 392?
You can find a detailed procedure to find GCD of 732, 849, 164, 392 on our page.
3. How to find GCD of 732, 849, 164, 392 on a calculator?
You can find the GCD of 732, 849, 164, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.