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 197, 786, 772, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 786, 772, 709 is 1
GCD(197, 786, 772, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 786, 772, 709 is 1
GCD(197, 786, 772, 709) = 1
Given Input numbers are 197, 786, 772, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 197, 786, 772, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 786, 772, 709 is 1.
Therefore, GCD of numbers 197, 786, 772, 709 is 1
Given Input Data is 197, 786, 772, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 709 is 709
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(197, 786) = 154842
GCD(197, 786) = ( 197 x 786 ) / 154842
GCD(197, 786) = 154842 / 154842
GCD(197, 786) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 197, 786, 772, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 786, 772, 709?
GCD of 197, 786, 772, 709 is 1
2. Where do I get the detailed procedure to find GCD of 197, 786, 772, 709?
You can find a detailed procedure to find GCD of 197, 786, 772, 709 on our page.
3. How to find GCD of 197, 786, 772, 709 on a calculator?
You can find the GCD of 197, 786, 772, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.