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 981, 303, 900, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 303, 900, 272 is 1
GCD(981, 303, 900, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 303, 900, 272 is 1
GCD(981, 303, 900, 272) = 1
Given Input numbers are 981, 303, 900, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 981, 303, 900, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 303, 900, 272 is 1.
Therefore, GCD of numbers 981, 303, 900, 272 is 1
Given Input Data is 981, 303, 900, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 303 is 3 x 101
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(981, 303) = 99081
GCD(981, 303) = ( 981 x 303 ) / 99081
GCD(981, 303) = 297243 / 99081
GCD(981, 303) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
GCD(3, 900) = 2700 / 900
GCD(3, 900) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 272) = 816
GCD(3, 272) = ( 3 x 272 ) / 816
GCD(3, 272) = 816 / 816
GCD(3, 272) = 1
GCD of 981, 303, 900, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 303, 900, 272?
GCD of 981, 303, 900, 272 is 1
2. Where do I get the detailed procedure to find GCD of 981, 303, 900, 272?
You can find a detailed procedure to find GCD of 981, 303, 900, 272 on our page.
3. How to find GCD of 981, 303, 900, 272 on a calculator?
You can find the GCD of 981, 303, 900, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.