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 553, 329, 25, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 329, 25, 156 is 1
GCD(553, 329, 25, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 329, 25, 156 is 1
GCD(553, 329, 25, 156) = 1
Given Input numbers are 553, 329, 25, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 553, 329, 25, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 329, 25, 156 is 1.
Therefore, GCD of numbers 553, 329, 25, 156 is 1
Given Input Data is 553, 329, 25, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 329 is 7 x 47
Prime Factorization of 25 is 5 x 5
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(553, 329) = 25991
GCD(553, 329) = ( 553 x 329 ) / 25991
GCD(553, 329) = 181937 / 25991
GCD(553, 329) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 25) = 175
GCD(7, 25) = ( 7 x 25 ) / 175
GCD(7, 25) = 175 / 175
GCD(7, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 553, 329, 25, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 329, 25, 156?
GCD of 553, 329, 25, 156 is 1
2. Where do I get the detailed procedure to find GCD of 553, 329, 25, 156?
You can find a detailed procedure to find GCD of 553, 329, 25, 156 on our page.
3. How to find GCD of 553, 329, 25, 156 on a calculator?
You can find the GCD of 553, 329, 25, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.