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 667, 845, 784, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 845, 784, 832 is 1
GCD(667, 845, 784, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 845, 784, 832 is 1
GCD(667, 845, 784, 832) = 1
Given Input numbers are 667, 845, 784, 832
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
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 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 667, 845, 784, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 845, 784, 832 is 1.
Therefore, GCD of numbers 667, 845, 784, 832 is 1
Given Input Data is 667, 845, 784, 832
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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(667, 845) = 563615
GCD(667, 845) = ( 667 x 845 ) / 563615
GCD(667, 845) = 563615 / 563615
GCD(667, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
GCD of 667, 845, 784, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 845, 784, 832?
GCD of 667, 845, 784, 832 is 1
2. Where do I get the detailed procedure to find GCD of 667, 845, 784, 832?
You can find a detailed procedure to find GCD of 667, 845, 784, 832 on our page.
3. How to find GCD of 667, 845, 784, 832 on a calculator?
You can find the GCD of 667, 845, 784, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.