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, 180, 17, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 180, 17, 525 is 1
GCD(553, 180, 17, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 180, 17, 525 is 1
GCD(553, 180, 17, 525) = 1
Given Input numbers are 553, 180, 17, 525
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 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 553, 180, 17, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 180, 17, 525 is 1.
Therefore, GCD of numbers 553, 180, 17, 525 is 1
Given Input Data is 553, 180, 17, 525
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 17 is 17
Prime Factorization of 525 is 3 x 5 x 5 x 7
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, 180) = 99540
GCD(553, 180) = ( 553 x 180 ) / 99540
GCD(553, 180) = 99540 / 99540
GCD(553, 180) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
GCD of 553, 180, 17, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 180, 17, 525?
GCD of 553, 180, 17, 525 is 1
2. Where do I get the detailed procedure to find GCD of 553, 180, 17, 525?
You can find a detailed procedure to find GCD of 553, 180, 17, 525 on our page.
3. How to find GCD of 553, 180, 17, 525 on a calculator?
You can find the GCD of 553, 180, 17, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.