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 656, 772, 47, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 656, 772, 47, 858 is 1
GCD(656, 772, 47, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 656, 772, 47, 858 is 1
GCD(656, 772, 47, 858) = 1
Given Input numbers are 656, 772, 47, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
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
Greatest Common Divisior
We found the divisors of 656, 772, 47, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 772, 47, 858 is 1.
Therefore, GCD of numbers 656, 772, 47, 858 is 1
Given Input Data is 656, 772, 47, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 47 is 47
Prime Factorization of 858 is 2 x 3 x 11 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(656, 772) = 126608
GCD(656, 772) = ( 656 x 772 ) / 126608
GCD(656, 772) = 506432 / 126608
GCD(656, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 656, 772, 47, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 656, 772, 47, 858?
GCD of 656, 772, 47, 858 is 1
2. Where do I get the detailed procedure to find GCD of 656, 772, 47, 858?
You can find a detailed procedure to find GCD of 656, 772, 47, 858 on our page.
3. How to find GCD of 656, 772, 47, 858 on a calculator?
You can find the GCD of 656, 772, 47, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.