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 299, 623, 77, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 623, 77, 667 is 1
GCD(299, 623, 77, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 623, 77, 667 is 1
GCD(299, 623, 77, 667) = 1
Given Input numbers are 299, 623, 77, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 299, 623, 77, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 623, 77, 667 is 1.
Therefore, GCD of numbers 299, 623, 77, 667 is 1
Given Input Data is 299, 623, 77, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 623 is 7 x 89
Prime Factorization of 77 is 7 x 11
Prime Factorization of 667 is 23 x 29
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(299, 623) = 186277
GCD(299, 623) = ( 299 x 623 ) / 186277
GCD(299, 623) = 186277 / 186277
GCD(299, 623) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 299, 623, 77, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 623, 77, 667?
GCD of 299, 623, 77, 667 is 1
2. Where do I get the detailed procedure to find GCD of 299, 623, 77, 667?
You can find a detailed procedure to find GCD of 299, 623, 77, 667 on our page.
3. How to find GCD of 299, 623, 77, 667 on a calculator?
You can find the GCD of 299, 623, 77, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.