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, 506, 808, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 506, 808, 270 is 1
GCD(981, 506, 808, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 506, 808, 270 is 1
GCD(981, 506, 808, 270) = 1
Given Input numbers are 981, 506, 808, 270
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 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 981, 506, 808, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 506, 808, 270 is 1.
Therefore, GCD of numbers 981, 506, 808, 270 is 1
Given Input Data is 981, 506, 808, 270
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 506 is 2 x 11 x 23
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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, 506) = 496386
GCD(981, 506) = ( 981 x 506 ) / 496386
GCD(981, 506) = 496386 / 496386
GCD(981, 506) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 981, 506, 808, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 506, 808, 270?
GCD of 981, 506, 808, 270 is 1
2. Where do I get the detailed procedure to find GCD of 981, 506, 808, 270?
You can find a detailed procedure to find GCD of 981, 506, 808, 270 on our page.
3. How to find GCD of 981, 506, 808, 270 on a calculator?
You can find the GCD of 981, 506, 808, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.