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 466, 836, 51, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 466, 836, 51, 131 is 1
GCD(466, 836, 51, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 466, 836, 51, 131 is 1
GCD(466, 836, 51, 131) = 1
Given Input numbers are 466, 836, 51, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 466, 836, 51, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 836, 51, 131 is 1.
Therefore, GCD of numbers 466, 836, 51, 131 is 1
Given Input Data is 466, 836, 51, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 466 is 2 x 233
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 51 is 3 x 17
Prime Factorization of 131 is 131
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(466, 836) = 194788
GCD(466, 836) = ( 466 x 836 ) / 194788
GCD(466, 836) = 389576 / 194788
GCD(466, 836) = 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 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 466, 836, 51, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 466, 836, 51, 131?
GCD of 466, 836, 51, 131 is 1
2. Where do I get the detailed procedure to find GCD of 466, 836, 51, 131?
You can find a detailed procedure to find GCD of 466, 836, 51, 131 on our page.
3. How to find GCD of 466, 836, 51, 131 on a calculator?
You can find the GCD of 466, 836, 51, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.