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 350, 473, 16, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 473, 16, 291 is 1
GCD(350, 473, 16, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 473, 16, 291 is 1
GCD(350, 473, 16, 291) = 1
Given Input numbers are 350, 473, 16, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 350, 473, 16, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 473, 16, 291 is 1.
Therefore, GCD of numbers 350, 473, 16, 291 is 1
Given Input Data is 350, 473, 16, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 473 is 11 x 43
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 291 is 3 x 97
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(350, 473) = 165550
GCD(350, 473) = ( 350 x 473 ) / 165550
GCD(350, 473) = 165550 / 165550
GCD(350, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 350, 473, 16, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 473, 16, 291?
GCD of 350, 473, 16, 291 is 1
2. Where do I get the detailed procedure to find GCD of 350, 473, 16, 291?
You can find a detailed procedure to find GCD of 350, 473, 16, 291 on our page.
3. How to find GCD of 350, 473, 16, 291 on a calculator?
You can find the GCD of 350, 473, 16, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.