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 38, 182, 877, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 182, 877, 270 is 1
GCD(38, 182, 877, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 182, 877, 270 is 1
GCD(38, 182, 877, 270) = 1
Given Input numbers are 38, 182, 877, 270
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
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 38, 182, 877, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 182, 877, 270 is 1.
Therefore, GCD of numbers 38, 182, 877, 270 is 1
Given Input Data is 38, 182, 877, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 877 is 877
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(38, 182) = 3458
GCD(38, 182) = ( 38 x 182 ) / 3458
GCD(38, 182) = 6916 / 3458
GCD(38, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 877) = 1754
GCD(2, 877) = ( 2 x 877 ) / 1754
GCD(2, 877) = 1754 / 1754
GCD(2, 877) = 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 38, 182, 877, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 182, 877, 270?
GCD of 38, 182, 877, 270 is 1
2. Where do I get the detailed procedure to find GCD of 38, 182, 877, 270?
You can find a detailed procedure to find GCD of 38, 182, 877, 270 on our page.
3. How to find GCD of 38, 182, 877, 270 on a calculator?
You can find the GCD of 38, 182, 877, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.