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, 121, 349, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 121, 349, 372 is 1
GCD(492, 121, 349, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 121, 349, 372 is 1
GCD(492, 121, 349, 372) = 1
Given Input numbers are 492, 121, 349, 372
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 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 492, 121, 349, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 121, 349, 372 is 1.
Therefore, GCD of numbers 492, 121, 349, 372 is 1
Given Input Data is 492, 121, 349, 372
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 121 is 11 x 11
Prime Factorization of 349 is 349
Prime Factorization of 372 is 2 x 2 x 3 x 31
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, 121) = 59532
GCD(492, 121) = ( 492 x 121 ) / 59532
GCD(492, 121) = 59532 / 59532
GCD(492, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 492, 121, 349, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 121, 349, 372?
GCD of 492, 121, 349, 372 is 1
2. Where do I get the detailed procedure to find GCD of 492, 121, 349, 372?
You can find a detailed procedure to find GCD of 492, 121, 349, 372 on our page.
3. How to find GCD of 492, 121, 349, 372 on a calculator?
You can find the GCD of 492, 121, 349, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.