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 804, 262, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 262, 731 is 1
GCD(804, 262, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 262, 731 is 1
GCD(804, 262, 731) = 1
Given Input numbers are 804, 262, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 804, 262, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 262, 731 is 1.
Therefore, GCD of numbers 804, 262, 731 is 1
Given Input Data is 804, 262, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 262 is 2 x 131
Prime Factorization of 731 is 17 x 43
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(804, 262) = 105324
GCD(804, 262) = ( 804 x 262 ) / 105324
GCD(804, 262) = 210648 / 105324
GCD(804, 262) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 804, 262, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 262, 731?
GCD of 804, 262, 731 is 1
2. Where do I get the detailed procedure to find GCD of 804, 262, 731?
You can find a detailed procedure to find GCD of 804, 262, 731 on our page.
3. How to find GCD of 804, 262, 731 on a calculator?
You can find the GCD of 804, 262, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.