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 836, 715, 47, 566 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 715, 47, 566 is 1
GCD(836, 715, 47, 566) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 715, 47, 566 is 1
GCD(836, 715, 47, 566) = 1
Given Input numbers are 836, 715, 47, 566
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Greatest Common Divisior
We found the divisors of 836, 715, 47, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 715, 47, 566 is 1.
Therefore, GCD of numbers 836, 715, 47, 566 is 1
Given Input Data is 836, 715, 47, 566
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 47 is 47
Prime Factorization of 566 is 2 x 283
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(836, 715) = 54340
GCD(836, 715) = ( 836 x 715 ) / 54340
GCD(836, 715) = 597740 / 54340
GCD(836, 715) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 47) = 517
GCD(11, 47) = ( 11 x 47 ) / 517
GCD(11, 47) = 517 / 517
GCD(11, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
GCD of 836, 715, 47, 566 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 715, 47, 566?
GCD of 836, 715, 47, 566 is 1
2. Where do I get the detailed procedure to find GCD of 836, 715, 47, 566?
You can find a detailed procedure to find GCD of 836, 715, 47, 566 on our page.
3. How to find GCD of 836, 715, 47, 566 on a calculator?
You can find the GCD of 836, 715, 47, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.