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 427, 890, 72, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 890, 72, 423 is 1
GCD(427, 890, 72, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 890, 72, 423 is 1
GCD(427, 890, 72, 423) = 1
Given Input numbers are 427, 890, 72, 423
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 427, 890, 72, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 890, 72, 423 is 1.
Therefore, GCD of numbers 427, 890, 72, 423 is 1
Given Input Data is 427, 890, 72, 423
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 423 is 3 x 3 x 47
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(427, 890) = 380030
GCD(427, 890) = ( 427 x 890 ) / 380030
GCD(427, 890) = 380030 / 380030
GCD(427, 890) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 427, 890, 72, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 890, 72, 423?
GCD of 427, 890, 72, 423 is 1
2. Where do I get the detailed procedure to find GCD of 427, 890, 72, 423?
You can find a detailed procedure to find GCD of 427, 890, 72, 423 on our page.
3. How to find GCD of 427, 890, 72, 423 on a calculator?
You can find the GCD of 427, 890, 72, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.