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 726, 108, 768, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 108, 768, 847 is 1
GCD(726, 108, 768, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 108, 768, 847 is 1
GCD(726, 108, 768, 847) = 1
Given Input numbers are 726, 108, 768, 847
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 726, 108, 768, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 108, 768, 847 is 1.
Therefore, GCD of numbers 726, 108, 768, 847 is 1
Given Input Data is 726, 108, 768, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 847 is 7 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(726, 108) = 13068
GCD(726, 108) = ( 726 x 108 ) / 13068
GCD(726, 108) = 78408 / 13068
GCD(726, 108) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 768) = 768
GCD(6, 768) = ( 6 x 768 ) / 768
GCD(6, 768) = 4608 / 768
GCD(6, 768) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 847) = 5082
GCD(6, 847) = ( 6 x 847 ) / 5082
GCD(6, 847) = 5082 / 5082
GCD(6, 847) = 1
GCD of 726, 108, 768, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 108, 768, 847?
GCD of 726, 108, 768, 847 is 1
2. Where do I get the detailed procedure to find GCD of 726, 108, 768, 847?
You can find a detailed procedure to find GCD of 726, 108, 768, 847 on our page.
3. How to find GCD of 726, 108, 768, 847 on a calculator?
You can find the GCD of 726, 108, 768, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.