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 660, 718, 47, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 718, 47, 176 is 1
GCD(660, 718, 47, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 718, 47, 176 is 1
GCD(660, 718, 47, 176) = 1
Given Input numbers are 660, 718, 47, 176
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
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 660, 718, 47, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 718, 47, 176 is 1.
Therefore, GCD of numbers 660, 718, 47, 176 is 1
Given Input Data is 660, 718, 47, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 718 is 2 x 359
Prime Factorization of 47 is 47
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(660, 718) = 236940
GCD(660, 718) = ( 660 x 718 ) / 236940
GCD(660, 718) = 473880 / 236940
GCD(660, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 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 660, 718, 47, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 718, 47, 176?
GCD of 660, 718, 47, 176 is 1
2. Where do I get the detailed procedure to find GCD of 660, 718, 47, 176?
You can find a detailed procedure to find GCD of 660, 718, 47, 176 on our page.
3. How to find GCD of 660, 718, 47, 176 on a calculator?
You can find the GCD of 660, 718, 47, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.