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 951, 369, 16, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 951, 369, 16, 346 is 1
GCD(951, 369, 16, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 951, 369, 16, 346 is 1
GCD(951, 369, 16, 346) = 1
Given Input numbers are 951, 369, 16, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 951, 369, 16, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 369, 16, 346 is 1.
Therefore, GCD of numbers 951, 369, 16, 346 is 1
Given Input Data is 951, 369, 16, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 951 is 3 x 317
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 346 is 2 x 173
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(951, 369) = 116973
GCD(951, 369) = ( 951 x 369 ) / 116973
GCD(951, 369) = 350919 / 116973
GCD(951, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 16) = 48
GCD(3, 16) = ( 3 x 16 ) / 48
GCD(3, 16) = 48 / 48
GCD(3, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 951, 369, 16, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 951, 369, 16, 346?
GCD of 951, 369, 16, 346 is 1
2. Where do I get the detailed procedure to find GCD of 951, 369, 16, 346?
You can find a detailed procedure to find GCD of 951, 369, 16, 346 on our page.
3. How to find GCD of 951, 369, 16, 346 on a calculator?
You can find the GCD of 951, 369, 16, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.