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 265, 785, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 785, 899 is 1
GCD(265, 785, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 785, 899 is 1
GCD(265, 785, 899) = 1
Given Input numbers are 265, 785, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 265, 785, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 785, 899 is 1.
Therefore, GCD of numbers 265, 785, 899 is 1
Given Input Data is 265, 785, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 785 is 5 x 157
Prime Factorization of 899 is 29 x 31
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(265, 785) = 41605
GCD(265, 785) = ( 265 x 785 ) / 41605
GCD(265, 785) = 208025 / 41605
GCD(265, 785) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 899) = 4495
GCD(5, 899) = ( 5 x 899 ) / 4495
GCD(5, 899) = 4495 / 4495
GCD(5, 899) = 1
GCD of 265, 785, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 785, 899?
GCD of 265, 785, 899 is 1
2. Where do I get the detailed procedure to find GCD of 265, 785, 899?
You can find a detailed procedure to find GCD of 265, 785, 899 on our page.
3. How to find GCD of 265, 785, 899 on a calculator?
You can find the GCD of 265, 785, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.