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 728, 847, 94, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 847, 94, 136 is 1
GCD(728, 847, 94, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 847, 94, 136 is 1
GCD(728, 847, 94, 136) = 1
Given Input numbers are 728, 847, 94, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 728, 847, 94, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 847, 94, 136 is 1.
Therefore, GCD of numbers 728, 847, 94, 136 is 1
Given Input Data is 728, 847, 94, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 94 is 2 x 47
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(728, 847) = 88088
GCD(728, 847) = ( 728 x 847 ) / 88088
GCD(728, 847) = 616616 / 88088
GCD(728, 847) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 94) = 658
GCD(7, 94) = ( 7 x 94 ) / 658
GCD(7, 94) = 658 / 658
GCD(7, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 728, 847, 94, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 847, 94, 136?
GCD of 728, 847, 94, 136 is 1
2. Where do I get the detailed procedure to find GCD of 728, 847, 94, 136?
You can find a detailed procedure to find GCD of 728, 847, 94, 136 on our page.
3. How to find GCD of 728, 847, 94, 136 on a calculator?
You can find the GCD of 728, 847, 94, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.