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, 245, 54, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 245, 54, 567 is 1
GCD(431, 245, 54, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 245, 54, 567 is 1
GCD(431, 245, 54, 567) = 1
Given Input numbers are 431, 245, 54, 567
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 431, 245, 54, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 245, 54, 567 is 1.
Therefore, GCD of numbers 431, 245, 54, 567 is 1
Given Input Data is 431, 245, 54, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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, 245) = 105595
GCD(431, 245) = ( 431 x 245 ) / 105595
GCD(431, 245) = 105595 / 105595
GCD(431, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 431, 245, 54, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 245, 54, 567?
GCD of 431, 245, 54, 567 is 1
2. Where do I get the detailed procedure to find GCD of 431, 245, 54, 567?
You can find a detailed procedure to find GCD of 431, 245, 54, 567 on our page.
3. How to find GCD of 431, 245, 54, 567 on a calculator?
You can find the GCD of 431, 245, 54, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.