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, 105, 53, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 105, 53, 929 is 1
GCD(660, 105, 53, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 105, 53, 929 is 1
GCD(660, 105, 53, 929) = 1
Given Input numbers are 660, 105, 53, 929
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 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 660, 105, 53, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 105, 53, 929 is 1.
Therefore, GCD of numbers 660, 105, 53, 929 is 1
Given Input Data is 660, 105, 53, 929
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 105 is 3 x 5 x 7
Prime Factorization of 53 is 53
Prime Factorization of 929 is 929
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, 105) = 4620
GCD(660, 105) = ( 660 x 105 ) / 4620
GCD(660, 105) = 69300 / 4620
GCD(660, 105) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 53) = 795
GCD(15, 53) = ( 15 x 53 ) / 795
GCD(15, 53) = 795 / 795
GCD(15, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 929) = 929
GCD(1, 929) = ( 1 x 929 ) / 929
GCD(1, 929) = 929 / 929
GCD(1, 929) = 1
GCD of 660, 105, 53, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 105, 53, 929?
GCD of 660, 105, 53, 929 is 1
2. Where do I get the detailed procedure to find GCD of 660, 105, 53, 929?
You can find a detailed procedure to find GCD of 660, 105, 53, 929 on our page.
3. How to find GCD of 660, 105, 53, 929 on a calculator?
You can find the GCD of 660, 105, 53, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.