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 412, 713, 128, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 713, 128, 203 is 1
GCD(412, 713, 128, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 713, 128, 203 is 1
GCD(412, 713, 128, 203) = 1
Given Input numbers are 412, 713, 128, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 412, 713, 128, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 713, 128, 203 is 1.
Therefore, GCD of numbers 412, 713, 128, 203 is 1
Given Input Data is 412, 713, 128, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 713 is 23 x 31
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 203 is 7 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(412, 713) = 293756
GCD(412, 713) = ( 412 x 713 ) / 293756
GCD(412, 713) = 293756 / 293756
GCD(412, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 412, 713, 128, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 713, 128, 203?
GCD of 412, 713, 128, 203 is 1
2. Where do I get the detailed procedure to find GCD of 412, 713, 128, 203?
You can find a detailed procedure to find GCD of 412, 713, 128, 203 on our page.
3. How to find GCD of 412, 713, 128, 203 on a calculator?
You can find the GCD of 412, 713, 128, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.