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 785, 729, 147, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 729, 147, 626 is 1
GCD(785, 729, 147, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 729, 147, 626 is 1
GCD(785, 729, 147, 626) = 1
Given Input numbers are 785, 729, 147, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 785, 729, 147, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 729, 147, 626 is 1.
Therefore, GCD of numbers 785, 729, 147, 626 is 1
Given Input Data is 785, 729, 147, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 626 is 2 x 313
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(785, 729) = 572265
GCD(785, 729) = ( 785 x 729 ) / 572265
GCD(785, 729) = 572265 / 572265
GCD(785, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 785, 729, 147, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 729, 147, 626?
GCD of 785, 729, 147, 626 is 1
2. Where do I get the detailed procedure to find GCD of 785, 729, 147, 626?
You can find a detailed procedure to find GCD of 785, 729, 147, 626 on our page.
3. How to find GCD of 785, 729, 147, 626 on a calculator?
You can find the GCD of 785, 729, 147, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.