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 709, 772, 68, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 772, 68, 503 is 1
GCD(709, 772, 68, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 772, 68, 503 is 1
GCD(709, 772, 68, 503) = 1
Given Input numbers are 709, 772, 68, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 709, 772, 68, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 772, 68, 503 is 1.
Therefore, GCD of numbers 709, 772, 68, 503 is 1
Given Input Data is 709, 772, 68, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 503 is 503
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(709, 772) = 547348
GCD(709, 772) = ( 709 x 772 ) / 547348
GCD(709, 772) = 547348 / 547348
GCD(709, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
GCD of 709, 772, 68, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 772, 68, 503?
GCD of 709, 772, 68, 503 is 1
2. Where do I get the detailed procedure to find GCD of 709, 772, 68, 503?
You can find a detailed procedure to find GCD of 709, 772, 68, 503 on our page.
3. How to find GCD of 709, 772, 68, 503 on a calculator?
You can find the GCD of 709, 772, 68, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.