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 426, 631, 24, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 631, 24, 374 is 1
GCD(426, 631, 24, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 631, 24, 374 is 1
GCD(426, 631, 24, 374) = 1
Given Input numbers are 426, 631, 24, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 426, 631, 24, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 631, 24, 374 is 1.
Therefore, GCD of numbers 426, 631, 24, 374 is 1
Given Input Data is 426, 631, 24, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 631 is 631
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 374 is 2 x 11 x 17
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(426, 631) = 268806
GCD(426, 631) = ( 426 x 631 ) / 268806
GCD(426, 631) = 268806 / 268806
GCD(426, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 426, 631, 24, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 631, 24, 374?
GCD of 426, 631, 24, 374 is 1
2. Where do I get the detailed procedure to find GCD of 426, 631, 24, 374?
You can find a detailed procedure to find GCD of 426, 631, 24, 374 on our page.
3. How to find GCD of 426, 631, 24, 374 on a calculator?
You can find the GCD of 426, 631, 24, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.