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 814, 537, 800, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 537, 800, 909 is 1
GCD(814, 537, 800, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 537, 800, 909 is 1
GCD(814, 537, 800, 909) = 1
Given Input numbers are 814, 537, 800, 909
To find the GCD of numbers using factoring list out all the divisors of each number
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 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 814, 537, 800, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 537, 800, 909 is 1.
Therefore, GCD of numbers 814, 537, 800, 909 is 1
Given Input Data is 814, 537, 800, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 537 is 3 x 179
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 909 is 3 x 3 x 101
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(814, 537) = 437118
GCD(814, 537) = ( 814 x 537 ) / 437118
GCD(814, 537) = 437118 / 437118
GCD(814, 537) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 1
GCD of 814, 537, 800, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 537, 800, 909?
GCD of 814, 537, 800, 909 is 1
2. Where do I get the detailed procedure to find GCD of 814, 537, 800, 909?
You can find a detailed procedure to find GCD of 814, 537, 800, 909 on our page.
3. How to find GCD of 814, 537, 800, 909 on a calculator?
You can find the GCD of 814, 537, 800, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.