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 64, 129, 274, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 64, 129, 274, 330 is 1
GCD(64, 129, 274, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 129, 274, 330 is 1
GCD(64, 129, 274, 330) = 1
Given Input numbers are 64, 129, 274, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 64, 129, 274, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 129, 274, 330 is 1.
Therefore, GCD of numbers 64, 129, 274, 330 is 1
Given Input Data is 64, 129, 274, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 129 is 3 x 43
Prime Factorization of 274 is 2 x 137
Prime Factorization of 330 is 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(64, 129) = 8256
GCD(64, 129) = ( 64 x 129 ) / 8256
GCD(64, 129) = 8256 / 8256
GCD(64, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 64, 129, 274, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 129, 274, 330?
GCD of 64, 129, 274, 330 is 1
2. Where do I get the detailed procedure to find GCD of 64, 129, 274, 330?
You can find a detailed procedure to find GCD of 64, 129, 274, 330 on our page.
3. How to find GCD of 64, 129, 274, 330 on a calculator?
You can find the GCD of 64, 129, 274, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.