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 133, 814, 51, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 814, 51, 537 is 1
GCD(133, 814, 51, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 814, 51, 537 is 1
GCD(133, 814, 51, 537) = 1
Given Input numbers are 133, 814, 51, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 133, 814, 51, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 814, 51, 537 is 1.
Therefore, GCD of numbers 133, 814, 51, 537 is 1
Given Input Data is 133, 814, 51, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 51 is 3 x 17
Prime Factorization of 537 is 3 x 179
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(133, 814) = 108262
GCD(133, 814) = ( 133 x 814 ) / 108262
GCD(133, 814) = 108262 / 108262
GCD(133, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 133, 814, 51, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 814, 51, 537?
GCD of 133, 814, 51, 537 is 1
2. Where do I get the detailed procedure to find GCD of 133, 814, 51, 537?
You can find a detailed procedure to find GCD of 133, 814, 51, 537 on our page.
3. How to find GCD of 133, 814, 51, 537 on a calculator?
You can find the GCD of 133, 814, 51, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.