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 224, 426, 81, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 426, 81, 463 is 1
GCD(224, 426, 81, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 426, 81, 463 is 1
GCD(224, 426, 81, 463) = 1
Given Input numbers are 224, 426, 81, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 224, 426, 81, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 426, 81, 463 is 1.
Therefore, GCD of numbers 224, 426, 81, 463 is 1
Given Input Data is 224, 426, 81, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 463 is 463
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(224, 426) = 47712
GCD(224, 426) = ( 224 x 426 ) / 47712
GCD(224, 426) = 95424 / 47712
GCD(224, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 224, 426, 81, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 426, 81, 463?
GCD of 224, 426, 81, 463 is 1
2. Where do I get the detailed procedure to find GCD of 224, 426, 81, 463?
You can find a detailed procedure to find GCD of 224, 426, 81, 463 on our page.
3. How to find GCD of 224, 426, 81, 463 on a calculator?
You can find the GCD of 224, 426, 81, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.