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 363, 378, 761, 181 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 378, 761, 181 is 1
GCD(363, 378, 761, 181) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 378, 761, 181 is 1
GCD(363, 378, 761, 181) = 1
Given Input numbers are 363, 378, 761, 181
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Greatest Common Divisior
We found the divisors of 363, 378, 761, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 378, 761, 181 is 1.
Therefore, GCD of numbers 363, 378, 761, 181 is 1
Given Input Data is 363, 378, 761, 181
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 761 is 761
Prime Factorization of 181 is 181
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(363, 378) = 45738
GCD(363, 378) = ( 363 x 378 ) / 45738
GCD(363, 378) = 137214 / 45738
GCD(363, 378) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 761) = 2283
GCD(3, 761) = ( 3 x 761 ) / 2283
GCD(3, 761) = 2283 / 2283
GCD(3, 761) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
GCD of 363, 378, 761, 181 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 378, 761, 181?
GCD of 363, 378, 761, 181 is 1
2. Where do I get the detailed procedure to find GCD of 363, 378, 761, 181?
You can find a detailed procedure to find GCD of 363, 378, 761, 181 on our page.
3. How to find GCD of 363, 378, 761, 181 on a calculator?
You can find the GCD of 363, 378, 761, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.