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 374, 441, 496, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 441, 496, 248 is 1
GCD(374, 441, 496, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 441, 496, 248 is 1
GCD(374, 441, 496, 248) = 1
Given Input numbers are 374, 441, 496, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 374, 441, 496, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 441, 496, 248 is 1.
Therefore, GCD of numbers 374, 441, 496, 248 is 1
Given Input Data is 374, 441, 496, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 248 is 2 x 2 x 2 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(374, 441) = 164934
GCD(374, 441) = ( 374 x 441 ) / 164934
GCD(374, 441) = 164934 / 164934
GCD(374, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
GCD of 374, 441, 496, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 441, 496, 248?
GCD of 374, 441, 496, 248 is 1
2. Where do I get the detailed procedure to find GCD of 374, 441, 496, 248?
You can find a detailed procedure to find GCD of 374, 441, 496, 248 on our page.
3. How to find GCD of 374, 441, 496, 248 on a calculator?
You can find the GCD of 374, 441, 496, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.