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 831, 841, 32, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 841, 32, 975 is 1
GCD(831, 841, 32, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 841, 32, 975 is 1
GCD(831, 841, 32, 975) = 1
Given Input numbers are 831, 841, 32, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 831, 841, 32, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 841, 32, 975 is 1.
Therefore, GCD of numbers 831, 841, 32, 975 is 1
Given Input Data is 831, 841, 32, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 841 is 29 x 29
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(831, 841) = 698871
GCD(831, 841) = ( 831 x 841 ) / 698871
GCD(831, 841) = 698871 / 698871
GCD(831, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 831, 841, 32, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 841, 32, 975?
GCD of 831, 841, 32, 975 is 1
2. Where do I get the detailed procedure to find GCD of 831, 841, 32, 975?
You can find a detailed procedure to find GCD of 831, 841, 32, 975 on our page.
3. How to find GCD of 831, 841, 32, 975 on a calculator?
You can find the GCD of 831, 841, 32, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.