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 423, 972, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 972, 545 is 1
GCD(423, 972, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 972, 545 is 1
GCD(423, 972, 545) = 1
Given Input numbers are 423, 972, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 423, 972, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 972, 545 is 1.
Therefore, GCD of numbers 423, 972, 545 is 1
Given Input Data is 423, 972, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 545 is 5 x 109
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(423, 972) = 45684
GCD(423, 972) = ( 423 x 972 ) / 45684
GCD(423, 972) = 411156 / 45684
GCD(423, 972) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 545) = 4905
GCD(9, 545) = ( 9 x 545 ) / 4905
GCD(9, 545) = 4905 / 4905
GCD(9, 545) = 1
GCD of 423, 972, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 972, 545?
GCD of 423, 972, 545 is 1
2. Where do I get the detailed procedure to find GCD of 423, 972, 545?
You can find a detailed procedure to find GCD of 423, 972, 545 on our page.
3. How to find GCD of 423, 972, 545 on a calculator?
You can find the GCD of 423, 972, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.