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 465, 896, 85, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 896, 85, 913 is 1
GCD(465, 896, 85, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 896, 85, 913 is 1
GCD(465, 896, 85, 913) = 1
Given Input numbers are 465, 896, 85, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 465, 896, 85, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 896, 85, 913 is 1.
Therefore, GCD of numbers 465, 896, 85, 913 is 1
Given Input Data is 465, 896, 85, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 85 is 5 x 17
Prime Factorization of 913 is 11 x 83
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(465, 896) = 416640
GCD(465, 896) = ( 465 x 896 ) / 416640
GCD(465, 896) = 416640 / 416640
GCD(465, 896) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 465, 896, 85, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 896, 85, 913?
GCD of 465, 896, 85, 913 is 1
2. Where do I get the detailed procedure to find GCD of 465, 896, 85, 913?
You can find a detailed procedure to find GCD of 465, 896, 85, 913 on our page.
3. How to find GCD of 465, 896, 85, 913 on a calculator?
You can find the GCD of 465, 896, 85, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.