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 83, 451, 703, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 451, 703, 428 is 1
GCD(83, 451, 703, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 451, 703, 428 is 1
GCD(83, 451, 703, 428) = 1
Given Input numbers are 83, 451, 703, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 83, 451, 703, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 451, 703, 428 is 1.
Therefore, GCD of numbers 83, 451, 703, 428 is 1
Given Input Data is 83, 451, 703, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 451 is 11 x 41
Prime Factorization of 703 is 19 x 37
Prime Factorization of 428 is 2 x 2 x 107
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(83, 451) = 37433
GCD(83, 451) = ( 83 x 451 ) / 37433
GCD(83, 451) = 37433 / 37433
GCD(83, 451) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 83, 451, 703, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 451, 703, 428?
GCD of 83, 451, 703, 428 is 1
2. Where do I get the detailed procedure to find GCD of 83, 451, 703, 428?
You can find a detailed procedure to find GCD of 83, 451, 703, 428 on our page.
3. How to find GCD of 83, 451, 703, 428 on a calculator?
You can find the GCD of 83, 451, 703, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.