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 431, 862, 96, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 862, 96, 876 is 1
GCD(431, 862, 96, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 862, 96, 876 is 1
GCD(431, 862, 96, 876) = 1
Given Input numbers are 431, 862, 96, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 431, 862, 96, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 862, 96, 876 is 1.
Therefore, GCD of numbers 431, 862, 96, 876 is 1
Given Input Data is 431, 862, 96, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 862 is 2 x 431
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 876 is 2 x 2 x 3 x 73
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(431, 862) = 862
GCD(431, 862) = ( 431 x 862 ) / 862
GCD(431, 862) = 371522 / 862
GCD(431, 862) = 431
Step2:
Here we consider the GCD from the above i.e. 431 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(431, 96) = 41376
GCD(431, 96) = ( 431 x 96 ) / 41376
GCD(431, 96) = 41376 / 41376
GCD(431, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 431, 862, 96, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 862, 96, 876?
GCD of 431, 862, 96, 876 is 1
2. Where do I get the detailed procedure to find GCD of 431, 862, 96, 876?
You can find a detailed procedure to find GCD of 431, 862, 96, 876 on our page.
3. How to find GCD of 431, 862, 96, 876 on a calculator?
You can find the GCD of 431, 862, 96, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.