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 16, 949, 371, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 949, 371, 430 is 1
GCD(16, 949, 371, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 949, 371, 430 is 1
GCD(16, 949, 371, 430) = 1
Given Input numbers are 16, 949, 371, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 16, 949, 371, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 949, 371, 430 is 1.
Therefore, GCD of numbers 16, 949, 371, 430 is 1
Given Input Data is 16, 949, 371, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 949 is 13 x 73
Prime Factorization of 371 is 7 x 53
Prime Factorization of 430 is 2 x 5 x 43
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(16, 949) = 15184
GCD(16, 949) = ( 16 x 949 ) / 15184
GCD(16, 949) = 15184 / 15184
GCD(16, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 16, 949, 371, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 949, 371, 430?
GCD of 16, 949, 371, 430 is 1
2. Where do I get the detailed procedure to find GCD of 16, 949, 371, 430?
You can find a detailed procedure to find GCD of 16, 949, 371, 430 on our page.
3. How to find GCD of 16, 949, 371, 430 on a calculator?
You can find the GCD of 16, 949, 371, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.