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, 444, 49, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 444, 49, 145 is 1
GCD(492, 444, 49, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 444, 49, 145 is 1
GCD(492, 444, 49, 145) = 1
Given Input numbers are 492, 444, 49, 145
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 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 492, 444, 49, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 444, 49, 145 is 1.
Therefore, GCD of numbers 492, 444, 49, 145 is 1
Given Input Data is 492, 444, 49, 145
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 444 is 2 x 2 x 3 x 37
Prime Factorization of 49 is 7 x 7
Prime Factorization of 145 is 5 x 29
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, 444) = 18204
GCD(492, 444) = ( 492 x 444 ) / 18204
GCD(492, 444) = 218448 / 18204
GCD(492, 444) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 49) = 588
GCD(12, 49) = ( 12 x 49 ) / 588
GCD(12, 49) = 588 / 588
GCD(12, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 492, 444, 49, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 444, 49, 145?
GCD of 492, 444, 49, 145 is 1
2. Where do I get the detailed procedure to find GCD of 492, 444, 49, 145?
You can find a detailed procedure to find GCD of 492, 444, 49, 145 on our page.
3. How to find GCD of 492, 444, 49, 145 on a calculator?
You can find the GCD of 492, 444, 49, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.