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, 471, 967, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 471, 967, 613 is 1
GCD(431, 471, 967, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 471, 967, 613 is 1
GCD(431, 471, 967, 613) = 1
Given Input numbers are 431, 471, 967, 613
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 431, 471, 967, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 471, 967, 613 is 1.
Therefore, GCD of numbers 431, 471, 967, 613 is 1
Given Input Data is 431, 471, 967, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 471 is 3 x 157
Prime Factorization of 967 is 967
Prime Factorization of 613 is 613
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, 471) = 203001
GCD(431, 471) = ( 431 x 471 ) / 203001
GCD(431, 471) = 203001 / 203001
GCD(431, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 431, 471, 967, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 471, 967, 613?
GCD of 431, 471, 967, 613 is 1
2. Where do I get the detailed procedure to find GCD of 431, 471, 967, 613?
You can find a detailed procedure to find GCD of 431, 471, 967, 613 on our page.
3. How to find GCD of 431, 471, 967, 613 on a calculator?
You can find the GCD of 431, 471, 967, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.