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 653, 329, 30, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 653, 329, 30, 153 is 1
GCD(653, 329, 30, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 653, 329, 30, 153 is 1
GCD(653, 329, 30, 153) = 1
Given Input numbers are 653, 329, 30, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 653, 329, 30, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 329, 30, 153 is 1.
Therefore, GCD of numbers 653, 329, 30, 153 is 1
Given Input Data is 653, 329, 30, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 653 is 653
Prime Factorization of 329 is 7 x 47
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 153 is 3 x 3 x 17
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(653, 329) = 214837
GCD(653, 329) = ( 653 x 329 ) / 214837
GCD(653, 329) = 214837 / 214837
GCD(653, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 653, 329, 30, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 653, 329, 30, 153?
GCD of 653, 329, 30, 153 is 1
2. Where do I get the detailed procedure to find GCD of 653, 329, 30, 153?
You can find a detailed procedure to find GCD of 653, 329, 30, 153 on our page.
3. How to find GCD of 653, 329, 30, 153 on a calculator?
You can find the GCD of 653, 329, 30, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.