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, 179, 84, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 179, 84, 660 is 1
GCD(732, 179, 84, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 179, 84, 660 is 1
GCD(732, 179, 84, 660) = 1
Given Input numbers are 732, 179, 84, 660
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 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 732, 179, 84, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 179, 84, 660 is 1.
Therefore, GCD of numbers 732, 179, 84, 660 is 1
Given Input Data is 732, 179, 84, 660
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 179 is 179
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 660 is 2 x 2 x 3 x 5 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(732, 179) = 131028
GCD(732, 179) = ( 732 x 179 ) / 131028
GCD(732, 179) = 131028 / 131028
GCD(732, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 732, 179, 84, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 179, 84, 660?
GCD of 732, 179, 84, 660 is 1
2. Where do I get the detailed procedure to find GCD of 732, 179, 84, 660?
You can find a detailed procedure to find GCD of 732, 179, 84, 660 on our page.
3. How to find GCD of 732, 179, 84, 660 on a calculator?
You can find the GCD of 732, 179, 84, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.