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 110, 270, 64, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 270, 64, 903 is 1
GCD(110, 270, 64, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 270, 64, 903 is 1
GCD(110, 270, 64, 903) = 1
Given Input numbers are 110, 270, 64, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
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
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Greatest Common Divisior
We found the divisors of 110, 270, 64, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 270, 64, 903 is 1.
Therefore, GCD of numbers 110, 270, 64, 903 is 1
Given Input Data is 110, 270, 64, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 903 is 3 x 7 x 43
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(110, 270) = 2970
GCD(110, 270) = ( 110 x 270 ) / 2970
GCD(110, 270) = 29700 / 2970
GCD(110, 270) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 64) = 320
GCD(10, 64) = ( 10 x 64 ) / 320
GCD(10, 64) = 640 / 320
GCD(10, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 903) = 1806
GCD(2, 903) = ( 2 x 903 ) / 1806
GCD(2, 903) = 1806 / 1806
GCD(2, 903) = 1
GCD of 110, 270, 64, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 270, 64, 903?
GCD of 110, 270, 64, 903 is 1
2. Where do I get the detailed procedure to find GCD of 110, 270, 64, 903?
You can find a detailed procedure to find GCD of 110, 270, 64, 903 on our page.
3. How to find GCD of 110, 270, 64, 903 on a calculator?
You can find the GCD of 110, 270, 64, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.