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 74, 490, 384, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 490, 384, 633 is 1
GCD(74, 490, 384, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 490, 384, 633 is 1
GCD(74, 490, 384, 633) = 1
Given Input numbers are 74, 490, 384, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 74, 490, 384, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 490, 384, 633 is 1.
Therefore, GCD of numbers 74, 490, 384, 633 is 1
Given Input Data is 74, 490, 384, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 633 is 3 x 211
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(74, 490) = 18130
GCD(74, 490) = ( 74 x 490 ) / 18130
GCD(74, 490) = 36260 / 18130
GCD(74, 490) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
GCD(2, 384) = 768 / 384
GCD(2, 384) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 633) = 1266
GCD(2, 633) = ( 2 x 633 ) / 1266
GCD(2, 633) = 1266 / 1266
GCD(2, 633) = 1
GCD of 74, 490, 384, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 490, 384, 633?
GCD of 74, 490, 384, 633 is 1
2. Where do I get the detailed procedure to find GCD of 74, 490, 384, 633?
You can find a detailed procedure to find GCD of 74, 490, 384, 633 on our page.
3. How to find GCD of 74, 490, 384, 633 on a calculator?
You can find the GCD of 74, 490, 384, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.