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 771, 729, 34, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 729, 34, 907 is 1
GCD(771, 729, 34, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 729, 34, 907 is 1
GCD(771, 729, 34, 907) = 1
Given Input numbers are 771, 729, 34, 907
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
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 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 771, 729, 34, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 729, 34, 907 is 1.
Therefore, GCD of numbers 771, 729, 34, 907 is 1
Given Input Data is 771, 729, 34, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 34 is 2 x 17
Prime Factorization of 907 is 907
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(771, 729) = 187353
GCD(771, 729) = ( 771 x 729 ) / 187353
GCD(771, 729) = 562059 / 187353
GCD(771, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 34) = 102
GCD(3, 34) = ( 3 x 34 ) / 102
GCD(3, 34) = 102 / 102
GCD(3, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 771, 729, 34, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 729, 34, 907?
GCD of 771, 729, 34, 907 is 1
2. Where do I get the detailed procedure to find GCD of 771, 729, 34, 907?
You can find a detailed procedure to find GCD of 771, 729, 34, 907 on our page.
3. How to find GCD of 771, 729, 34, 907 on a calculator?
You can find the GCD of 771, 729, 34, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.