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 783, 428, 662, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 783, 428, 662, 203 is 1
GCD(783, 428, 662, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 783, 428, 662, 203 is 1
GCD(783, 428, 662, 203) = 1
Given Input numbers are 783, 428, 662, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
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 783, 428, 662, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 428, 662, 203 is 1.
Therefore, GCD of numbers 783, 428, 662, 203 is 1
Given Input Data is 783, 428, 662, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 662 is 2 x 331
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(783, 428) = 335124
GCD(783, 428) = ( 783 x 428 ) / 335124
GCD(783, 428) = 335124 / 335124
GCD(783, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 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 783, 428, 662, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 783, 428, 662, 203?
GCD of 783, 428, 662, 203 is 1
2. Where do I get the detailed procedure to find GCD of 783, 428, 662, 203?
You can find a detailed procedure to find GCD of 783, 428, 662, 203 on our page.
3. How to find GCD of 783, 428, 662, 203 on a calculator?
You can find the GCD of 783, 428, 662, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.