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, 784, 376, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 784, 376, 769 is 1
GCD(16, 784, 376, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 784, 376, 769 is 1
GCD(16, 784, 376, 769) = 1
Given Input numbers are 16, 784, 376, 769
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 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 16, 784, 376, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 784, 376, 769 is 1.
Therefore, GCD of numbers 16, 784, 376, 769 is 1
Given Input Data is 16, 784, 376, 769
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 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 769 is 769
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, 784) = 784
GCD(16, 784) = ( 16 x 784 ) / 784
GCD(16, 784) = 12544 / 784
GCD(16, 784) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 376) = 752
GCD(16, 376) = ( 16 x 376 ) / 752
GCD(16, 376) = 6016 / 752
GCD(16, 376) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 769) = 6152
GCD(8, 769) = ( 8 x 769 ) / 6152
GCD(8, 769) = 6152 / 6152
GCD(8, 769) = 1
GCD of 16, 784, 376, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 784, 376, 769?
GCD of 16, 784, 376, 769 is 1
2. Where do I get the detailed procedure to find GCD of 16, 784, 376, 769?
You can find a detailed procedure to find GCD of 16, 784, 376, 769 on our page.
3. How to find GCD of 16, 784, 376, 769 on a calculator?
You can find the GCD of 16, 784, 376, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.