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 362, 298, 38, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 298, 38, 461 is 1
GCD(362, 298, 38, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 298, 38, 461 is 1
GCD(362, 298, 38, 461) = 1
Given Input numbers are 362, 298, 38, 461
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 362, 298, 38, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 298, 38, 461 is 1.
Therefore, GCD of numbers 362, 298, 38, 461 is 1
Given Input Data is 362, 298, 38, 461
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 298 is 2 x 149
Prime Factorization of 38 is 2 x 19
Prime Factorization of 461 is 461
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(362, 298) = 53938
GCD(362, 298) = ( 362 x 298 ) / 53938
GCD(362, 298) = 107876 / 53938
GCD(362, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 461) = 922
GCD(2, 461) = ( 2 x 461 ) / 922
GCD(2, 461) = 922 / 922
GCD(2, 461) = 1
GCD of 362, 298, 38, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 298, 38, 461?
GCD of 362, 298, 38, 461 is 1
2. Where do I get the detailed procedure to find GCD of 362, 298, 38, 461?
You can find a detailed procedure to find GCD of 362, 298, 38, 461 on our page.
3. How to find GCD of 362, 298, 38, 461 on a calculator?
You can find the GCD of 362, 298, 38, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.