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, 873, 90, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 873, 90, 995 is 1
GCD(545, 873, 90, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 873, 90, 995 is 1
GCD(545, 873, 90, 995) = 1
Given Input numbers are 545, 873, 90, 995
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 545, 873, 90, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 873, 90, 995 is 1.
Therefore, GCD of numbers 545, 873, 90, 995 is 1
Given Input Data is 545, 873, 90, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 995 is 5 x 199
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, 873) = 475785
GCD(545, 873) = ( 545 x 873 ) / 475785
GCD(545, 873) = 475785 / 475785
GCD(545, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 545, 873, 90, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 873, 90, 995?
GCD of 545, 873, 90, 995 is 1
2. Where do I get the detailed procedure to find GCD of 545, 873, 90, 995?
You can find a detailed procedure to find GCD of 545, 873, 90, 995 on our page.
3. How to find GCD of 545, 873, 90, 995 on a calculator?
You can find the GCD of 545, 873, 90, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.