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 832, 928, 971, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 928, 971, 432 is 1
GCD(832, 928, 971, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 928, 971, 432 is 1
GCD(832, 928, 971, 432) = 1
Given Input numbers are 832, 928, 971, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 832, 928, 971, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 928, 971, 432 is 1.
Therefore, GCD of numbers 832, 928, 971, 432 is 1
Given Input Data is 832, 928, 971, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 971 is 971
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(832, 928) = 24128
GCD(832, 928) = ( 832 x 928 ) / 24128
GCD(832, 928) = 772096 / 24128
GCD(832, 928) = 32
Step2:
Here we consider the GCD from the above i.e. 32 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(32, 971) = 31072
GCD(32, 971) = ( 32 x 971 ) / 31072
GCD(32, 971) = 31072 / 31072
GCD(32, 971) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 832, 928, 971, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 928, 971, 432?
GCD of 832, 928, 971, 432 is 1
2. Where do I get the detailed procedure to find GCD of 832, 928, 971, 432?
You can find a detailed procedure to find GCD of 832, 928, 971, 432 on our page.
3. How to find GCD of 832, 928, 971, 432 on a calculator?
You can find the GCD of 832, 928, 971, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.