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, 485, 465, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 485, 465, 148 is 1
GCD(492, 485, 465, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 485, 465, 148 is 1
GCD(492, 485, 465, 148) = 1
Given Input numbers are 492, 485, 465, 148
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 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 492, 485, 465, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 485, 465, 148 is 1.
Therefore, GCD of numbers 492, 485, 465, 148 is 1
Given Input Data is 492, 485, 465, 148
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 485 is 5 x 97
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 148 is 2 x 2 x 37
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, 485) = 238620
GCD(492, 485) = ( 492 x 485 ) / 238620
GCD(492, 485) = 238620 / 238620
GCD(492, 485) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
GCD of 492, 485, 465, 148 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 485, 465, 148?
GCD of 492, 485, 465, 148 is 1
2. Where do I get the detailed procedure to find GCD of 492, 485, 465, 148?
You can find a detailed procedure to find GCD of 492, 485, 465, 148 on our page.
3. How to find GCD of 492, 485, 465, 148 on a calculator?
You can find the GCD of 492, 485, 465, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.