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 434, 772, 733, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 772, 733, 703 is 1
GCD(434, 772, 733, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 772, 733, 703 is 1
GCD(434, 772, 733, 703) = 1
Given Input numbers are 434, 772, 733, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 434, 772, 733, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 772, 733, 703 is 1.
Therefore, GCD of numbers 434, 772, 733, 703 is 1
Given Input Data is 434, 772, 733, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 733 is 733
Prime Factorization of 703 is 19 x 37
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(434, 772) = 167524
GCD(434, 772) = ( 434 x 772 ) / 167524
GCD(434, 772) = 335048 / 167524
GCD(434, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
GCD(2, 733) = 1466 / 1466
GCD(2, 733) = 1
Step3:
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
GCD of 434, 772, 733, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 772, 733, 703?
GCD of 434, 772, 733, 703 is 1
2. Where do I get the detailed procedure to find GCD of 434, 772, 733, 703?
You can find a detailed procedure to find GCD of 434, 772, 733, 703 on our page.
3. How to find GCD of 434, 772, 733, 703 on a calculator?
You can find the GCD of 434, 772, 733, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.