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, 240, 99, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 240, 99, 631 is 1
GCD(426, 240, 99, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 240, 99, 631 is 1
GCD(426, 240, 99, 631) = 1
Given Input numbers are 426, 240, 99, 631
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 426, 240, 99, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 240, 99, 631 is 1.
Therefore, GCD of numbers 426, 240, 99, 631 is 1
Given Input Data is 426, 240, 99, 631
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 631 is 631
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, 240) = 17040
GCD(426, 240) = ( 426 x 240 ) / 17040
GCD(426, 240) = 102240 / 17040
GCD(426, 240) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 99) = 198
GCD(6, 99) = ( 6 x 99 ) / 198
GCD(6, 99) = 594 / 198
GCD(6, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 631) = 1893
GCD(3, 631) = ( 3 x 631 ) / 1893
GCD(3, 631) = 1893 / 1893
GCD(3, 631) = 1
GCD of 426, 240, 99, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 240, 99, 631?
GCD of 426, 240, 99, 631 is 1
2. Where do I get the detailed procedure to find GCD of 426, 240, 99, 631?
You can find a detailed procedure to find GCD of 426, 240, 99, 631 on our page.
3. How to find GCD of 426, 240, 99, 631 on a calculator?
You can find the GCD of 426, 240, 99, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.