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 858, 708, 777, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 708, 777, 329 is 1
GCD(858, 708, 777, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 708, 777, 329 is 1
GCD(858, 708, 777, 329) = 1
Given Input numbers are 858, 708, 777, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 858, 708, 777, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 708, 777, 329 is 1.
Therefore, GCD of numbers 858, 708, 777, 329 is 1
Given Input Data is 858, 708, 777, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 329 is 7 x 47
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(858, 708) = 101244
GCD(858, 708) = ( 858 x 708 ) / 101244
GCD(858, 708) = 607464 / 101244
GCD(858, 708) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 777) = 1554
GCD(6, 777) = ( 6 x 777 ) / 1554
GCD(6, 777) = 4662 / 1554
GCD(6, 777) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 329) = 987
GCD(3, 329) = ( 3 x 329 ) / 987
GCD(3, 329) = 987 / 987
GCD(3, 329) = 1
GCD of 858, 708, 777, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 708, 777, 329?
GCD of 858, 708, 777, 329 is 1
2. Where do I get the detailed procedure to find GCD of 858, 708, 777, 329?
You can find a detailed procedure to find GCD of 858, 708, 777, 329 on our page.
3. How to find GCD of 858, 708, 777, 329 on a calculator?
You can find the GCD of 858, 708, 777, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.