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 545, 236, 30, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 236, 30, 359 is 1
GCD(545, 236, 30, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 236, 30, 359 is 1
GCD(545, 236, 30, 359) = 1
Given Input numbers are 545, 236, 30, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
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 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 545, 236, 30, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 236, 30, 359 is 1.
Therefore, GCD of numbers 545, 236, 30, 359 is 1
Given Input Data is 545, 236, 30, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 359 is 359
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(545, 236) = 128620
GCD(545, 236) = ( 545 x 236 ) / 128620
GCD(545, 236) = 128620 / 128620
GCD(545, 236) = 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 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 545, 236, 30, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 236, 30, 359?
GCD of 545, 236, 30, 359 is 1
2. Where do I get the detailed procedure to find GCD of 545, 236, 30, 359?
You can find a detailed procedure to find GCD of 545, 236, 30, 359 on our page.
3. How to find GCD of 545, 236, 30, 359 on a calculator?
You can find the GCD of 545, 236, 30, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.