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 856, 143, 31, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 143, 31, 726 is 1
GCD(856, 143, 31, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 143, 31, 726 is 1
GCD(856, 143, 31, 726) = 1
Given Input numbers are 856, 143, 31, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 856, 143, 31, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 143, 31, 726 is 1.
Therefore, GCD of numbers 856, 143, 31, 726 is 1
Given Input Data is 856, 143, 31, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 143 is 11 x 13
Prime Factorization of 31 is 31
Prime Factorization of 726 is 2 x 3 x 11 x 11
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(856, 143) = 122408
GCD(856, 143) = ( 856 x 143 ) / 122408
GCD(856, 143) = 122408 / 122408
GCD(856, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 856, 143, 31, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 143, 31, 726?
GCD of 856, 143, 31, 726 is 1
2. Where do I get the detailed procedure to find GCD of 856, 143, 31, 726?
You can find a detailed procedure to find GCD of 856, 143, 31, 726 on our page.
3. How to find GCD of 856, 143, 31, 726 on a calculator?
You can find the GCD of 856, 143, 31, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.