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 356, 281, 58, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 281, 58, 395 is 1
GCD(356, 281, 58, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 281, 58, 395 is 1
GCD(356, 281, 58, 395) = 1
Given Input numbers are 356, 281, 58, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 356, 281, 58, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 281, 58, 395 is 1.
Therefore, GCD of numbers 356, 281, 58, 395 is 1
Given Input Data is 356, 281, 58, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 281 is 281
Prime Factorization of 58 is 2 x 29
Prime Factorization of 395 is 5 x 79
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(356, 281) = 100036
GCD(356, 281) = ( 356 x 281 ) / 100036
GCD(356, 281) = 100036 / 100036
GCD(356, 281) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 356, 281, 58, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 281, 58, 395?
GCD of 356, 281, 58, 395 is 1
2. Where do I get the detailed procedure to find GCD of 356, 281, 58, 395?
You can find a detailed procedure to find GCD of 356, 281, 58, 395 on our page.
3. How to find GCD of 356, 281, 58, 395 on a calculator?
You can find the GCD of 356, 281, 58, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.