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 473, 766, 830, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 766, 830, 867 is 1
GCD(473, 766, 830, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 766, 830, 867 is 1
GCD(473, 766, 830, 867) = 1
Given Input numbers are 473, 766, 830, 867
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 473, 766, 830, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 766, 830, 867 is 1.
Therefore, GCD of numbers 473, 766, 830, 867 is 1
Given Input Data is 473, 766, 830, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 766 is 2 x 383
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 867 is 3 x 17 x 17
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(473, 766) = 362318
GCD(473, 766) = ( 473 x 766 ) / 362318
GCD(473, 766) = 362318 / 362318
GCD(473, 766) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 830
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 830) = 830
GCD(1, 830) = ( 1 x 830 ) / 830
GCD(1, 830) = 830 / 830
GCD(1, 830) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 473, 766, 830, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 766, 830, 867?
GCD of 473, 766, 830, 867 is 1
2. Where do I get the detailed procedure to find GCD of 473, 766, 830, 867?
You can find a detailed procedure to find GCD of 473, 766, 830, 867 on our page.
3. How to find GCD of 473, 766, 830, 867 on a calculator?
You can find the GCD of 473, 766, 830, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.