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 897, 765, 929, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 765, 929, 905 is 1
GCD(897, 765, 929, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 765, 929, 905 is 1
GCD(897, 765, 929, 905) = 1
Given Input numbers are 897, 765, 929, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 897, 765, 929, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 765, 929, 905 is 1.
Therefore, GCD of numbers 897, 765, 929, 905 is 1
Given Input Data is 897, 765, 929, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 929 is 929
Prime Factorization of 905 is 5 x 181
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(897, 765) = 228735
GCD(897, 765) = ( 897 x 765 ) / 228735
GCD(897, 765) = 686205 / 228735
GCD(897, 765) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 929) = 2787
GCD(3, 929) = ( 3 x 929 ) / 2787
GCD(3, 929) = 2787 / 2787
GCD(3, 929) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 897, 765, 929, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 765, 929, 905?
GCD of 897, 765, 929, 905 is 1
2. Where do I get the detailed procedure to find GCD of 897, 765, 929, 905?
You can find a detailed procedure to find GCD of 897, 765, 929, 905 on our page.
3. How to find GCD of 897, 765, 929, 905 on a calculator?
You can find the GCD of 897, 765, 929, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.