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, 962, 13, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 962, 13, 178 is 1
GCD(660, 962, 13, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 962, 13, 178 is 1
GCD(660, 962, 13, 178) = 1
Given Input numbers are 660, 962, 13, 178
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 660, 962, 13, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 962, 13, 178 is 1.
Therefore, GCD of numbers 660, 962, 13, 178 is 1
Given Input Data is 660, 962, 13, 178
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 962 is 2 x 13 x 37
Prime Factorization of 13 is 13
Prime Factorization of 178 is 2 x 89
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, 962) = 317460
GCD(660, 962) = ( 660 x 962 ) / 317460
GCD(660, 962) = 634920 / 317460
GCD(660, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 660, 962, 13, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 962, 13, 178?
GCD of 660, 962, 13, 178 is 1
2. Where do I get the detailed procedure to find GCD of 660, 962, 13, 178?
You can find a detailed procedure to find GCD of 660, 962, 13, 178 on our page.
3. How to find GCD of 660, 962, 13, 178 on a calculator?
You can find the GCD of 660, 962, 13, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.