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 899, 471, 232, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 899, 471, 232, 964 is 1
GCD(899, 471, 232, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 899, 471, 232, 964 is 1
GCD(899, 471, 232, 964) = 1
Given Input numbers are 899, 471, 232, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 899, 471, 232, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 471, 232, 964 is 1.
Therefore, GCD of numbers 899, 471, 232, 964 is 1
Given Input Data is 899, 471, 232, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 899 is 29 x 31
Prime Factorization of 471 is 3 x 157
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 964 is 2 x 2 x 241
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(899, 471) = 423429
GCD(899, 471) = ( 899 x 471 ) / 423429
GCD(899, 471) = 423429 / 423429
GCD(899, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 899, 471, 232, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 899, 471, 232, 964?
GCD of 899, 471, 232, 964 is 1
2. Where do I get the detailed procedure to find GCD of 899, 471, 232, 964?
You can find a detailed procedure to find GCD of 899, 471, 232, 964 on our page.
3. How to find GCD of 899, 471, 232, 964 on a calculator?
You can find the GCD of 899, 471, 232, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.