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, 851, 381, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 851, 381, 672 is 1
GCD(16, 851, 381, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 851, 381, 672 is 1
GCD(16, 851, 381, 672) = 1
Given Input numbers are 16, 851, 381, 672
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 16, 851, 381, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 851, 381, 672 is 1.
Therefore, GCD of numbers 16, 851, 381, 672 is 1
Given Input Data is 16, 851, 381, 672
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 851 is 23 x 37
Prime Factorization of 381 is 3 x 127
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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, 851) = 13616
GCD(16, 851) = ( 16 x 851 ) / 13616
GCD(16, 851) = 13616 / 13616
GCD(16, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 16, 851, 381, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 851, 381, 672?
GCD of 16, 851, 381, 672 is 1
2. Where do I get the detailed procedure to find GCD of 16, 851, 381, 672?
You can find a detailed procedure to find GCD of 16, 851, 381, 672 on our page.
3. How to find GCD of 16, 851, 381, 672 on a calculator?
You can find the GCD of 16, 851, 381, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.