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 301, 802, 46, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 301, 802, 46, 372 is 1
GCD(301, 802, 46, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 301, 802, 46, 372 is 1
GCD(301, 802, 46, 372) = 1
Given Input numbers are 301, 802, 46, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 301, 802, 46, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 802, 46, 372 is 1.
Therefore, GCD of numbers 301, 802, 46, 372 is 1
Given Input Data is 301, 802, 46, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 301 is 7 x 43
Prime Factorization of 802 is 2 x 401
Prime Factorization of 46 is 2 x 23
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(301, 802) = 241402
GCD(301, 802) = ( 301 x 802 ) / 241402
GCD(301, 802) = 241402 / 241402
GCD(301, 802) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 301, 802, 46, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 301, 802, 46, 372?
GCD of 301, 802, 46, 372 is 1
2. Where do I get the detailed procedure to find GCD of 301, 802, 46, 372?
You can find a detailed procedure to find GCD of 301, 802, 46, 372 on our page.
3. How to find GCD of 301, 802, 46, 372 on a calculator?
You can find the GCD of 301, 802, 46, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.