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 270, 904, 84, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 904, 84, 371 is 1
GCD(270, 904, 84, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 904, 84, 371 is 1
GCD(270, 904, 84, 371) = 1
Given Input numbers are 270, 904, 84, 371
To find the GCD of numbers using factoring list out all the divisors of each number
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 270, 904, 84, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 904, 84, 371 is 1.
Therefore, GCD of numbers 270, 904, 84, 371 is 1
Given Input Data is 270, 904, 84, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 371 is 7 x 53
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(270, 904) = 122040
GCD(270, 904) = ( 270 x 904 ) / 122040
GCD(270, 904) = 244080 / 122040
GCD(270, 904) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
GCD(2, 371) = 742 / 742
GCD(2, 371) = 1
GCD of 270, 904, 84, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 904, 84, 371?
GCD of 270, 904, 84, 371 is 1
2. Where do I get the detailed procedure to find GCD of 270, 904, 84, 371?
You can find a detailed procedure to find GCD of 270, 904, 84, 371 on our page.
3. How to find GCD of 270, 904, 84, 371 on a calculator?
You can find the GCD of 270, 904, 84, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.