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 296, 366, 87, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 366, 87, 401 is 1
GCD(296, 366, 87, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 366, 87, 401 is 1
GCD(296, 366, 87, 401) = 1
Given Input numbers are 296, 366, 87, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 296, 366, 87, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 366, 87, 401 is 1.
Therefore, GCD of numbers 296, 366, 87, 401 is 1
Given Input Data is 296, 366, 87, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 87 is 3 x 29
Prime Factorization of 401 is 401
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(296, 366) = 54168
GCD(296, 366) = ( 296 x 366 ) / 54168
GCD(296, 366) = 108336 / 54168
GCD(296, 366) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
GCD of 296, 366, 87, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 366, 87, 401?
GCD of 296, 366, 87, 401 is 1
2. Where do I get the detailed procedure to find GCD of 296, 366, 87, 401?
You can find a detailed procedure to find GCD of 296, 366, 87, 401 on our page.
3. How to find GCD of 296, 366, 87, 401 on a calculator?
You can find the GCD of 296, 366, 87, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.