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 786, 563, 382, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 786, 563, 382, 682 is 1
GCD(786, 563, 382, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 563, 382, 682 is 1
GCD(786, 563, 382, 682) = 1
Given Input numbers are 786, 563, 382, 682
To find the GCD of numbers using factoring list out all the divisors of each number
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 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 786, 563, 382, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 563, 382, 682 is 1.
Therefore, GCD of numbers 786, 563, 382, 682 is 1
Given Input Data is 786, 563, 382, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 563 is 563
Prime Factorization of 382 is 2 x 191
Prime Factorization of 682 is 2 x 11 x 31
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(786, 563) = 442518
GCD(786, 563) = ( 786 x 563 ) / 442518
GCD(786, 563) = 442518 / 442518
GCD(786, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 786, 563, 382, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 563, 382, 682?
GCD of 786, 563, 382, 682 is 1
2. Where do I get the detailed procedure to find GCD of 786, 563, 382, 682?
You can find a detailed procedure to find GCD of 786, 563, 382, 682 on our page.
3. How to find GCD of 786, 563, 382, 682 on a calculator?
You can find the GCD of 786, 563, 382, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.