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 497, 864, 235, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 864, 235, 853 is 1
GCD(497, 864, 235, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 864, 235, 853 is 1
GCD(497, 864, 235, 853) = 1
Given Input numbers are 497, 864, 235, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 497, 864, 235, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 864, 235, 853 is 1.
Therefore, GCD of numbers 497, 864, 235, 853 is 1
Given Input Data is 497, 864, 235, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 235 is 5 x 47
Prime Factorization of 853 is 853
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(497, 864) = 429408
GCD(497, 864) = ( 497 x 864 ) / 429408
GCD(497, 864) = 429408 / 429408
GCD(497, 864) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 497, 864, 235, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 864, 235, 853?
GCD of 497, 864, 235, 853 is 1
2. Where do I get the detailed procedure to find GCD of 497, 864, 235, 853?
You can find a detailed procedure to find GCD of 497, 864, 235, 853 on our page.
3. How to find GCD of 497, 864, 235, 853 on a calculator?
You can find the GCD of 497, 864, 235, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.