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 428, 299, 83, 173 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 299, 83, 173 is 1
GCD(428, 299, 83, 173) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 299, 83, 173 is 1
GCD(428, 299, 83, 173) = 1
Given Input numbers are 428, 299, 83, 173
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Greatest Common Divisior
We found the divisors of 428, 299, 83, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 299, 83, 173 is 1.
Therefore, GCD of numbers 428, 299, 83, 173 is 1
Given Input Data is 428, 299, 83, 173
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 299 is 13 x 23
Prime Factorization of 83 is 83
Prime Factorization of 173 is 173
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(428, 299) = 127972
GCD(428, 299) = ( 428 x 299 ) / 127972
GCD(428, 299) = 127972 / 127972
GCD(428, 299) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
GCD of 428, 299, 83, 173 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 299, 83, 173?
GCD of 428, 299, 83, 173 is 1
2. Where do I get the detailed procedure to find GCD of 428, 299, 83, 173?
You can find a detailed procedure to find GCD of 428, 299, 83, 173 on our page.
3. How to find GCD of 428, 299, 83, 173 on a calculator?
You can find the GCD of 428, 299, 83, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.