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 492, 122, 25, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 122, 25, 463 is 1
GCD(492, 122, 25, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 122, 25, 463 is 1
GCD(492, 122, 25, 463) = 1
Given Input numbers are 492, 122, 25, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
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 492, 122, 25, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 122, 25, 463 is 1.
Therefore, GCD of numbers 492, 122, 25, 463 is 1
Given Input Data is 492, 122, 25, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 122 is 2 x 61
Prime Factorization of 25 is 5 x 5
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(492, 122) = 30012
GCD(492, 122) = ( 492 x 122 ) / 30012
GCD(492, 122) = 60024 / 30012
GCD(492, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 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 492, 122, 25, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 122, 25, 463?
GCD of 492, 122, 25, 463 is 1
2. Where do I get the detailed procedure to find GCD of 492, 122, 25, 463?
You can find a detailed procedure to find GCD of 492, 122, 25, 463 on our page.
3. How to find GCD of 492, 122, 25, 463 on a calculator?
You can find the GCD of 492, 122, 25, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.