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 434, 466, 51, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 466, 51, 631 is 1
GCD(434, 466, 51, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 466, 51, 631 is 1
GCD(434, 466, 51, 631) = 1
Given Input numbers are 434, 466, 51, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
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 434, 466, 51, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 466, 51, 631 is 1.
Therefore, GCD of numbers 434, 466, 51, 631 is 1
Given Input Data is 434, 466, 51, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 466 is 2 x 233
Prime Factorization of 51 is 3 x 17
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(434, 466) = 101122
GCD(434, 466) = ( 434 x 466 ) / 101122
GCD(434, 466) = 202244 / 101122
GCD(434, 466) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 434, 466, 51, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 466, 51, 631?
GCD of 434, 466, 51, 631 is 1
2. Where do I get the detailed procedure to find GCD of 434, 466, 51, 631?
You can find a detailed procedure to find GCD of 434, 466, 51, 631 on our page.
3. How to find GCD of 434, 466, 51, 631 on a calculator?
You can find the GCD of 434, 466, 51, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.