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 369, 545, 25, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 545, 25, 175 is 1
GCD(369, 545, 25, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 545, 25, 175 is 1
GCD(369, 545, 25, 175) = 1
Given Input numbers are 369, 545, 25, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 369, 545, 25, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 545, 25, 175 is 1.
Therefore, GCD of numbers 369, 545, 25, 175 is 1
Given Input Data is 369, 545, 25, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 545 is 5 x 109
Prime Factorization of 25 is 5 x 5
Prime Factorization of 175 is 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(369, 545) = 201105
GCD(369, 545) = ( 369 x 545 ) / 201105
GCD(369, 545) = 201105 / 201105
GCD(369, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 369, 545, 25, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 545, 25, 175?
GCD of 369, 545, 25, 175 is 1
2. Where do I get the detailed procedure to find GCD of 369, 545, 25, 175?
You can find a detailed procedure to find GCD of 369, 545, 25, 175 on our page.
3. How to find GCD of 369, 545, 25, 175 on a calculator?
You can find the GCD of 369, 545, 25, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.