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, 608, 13, 618 i.e. 1 largest integer that divides all the numbers equally.
GCD of 786, 608, 13, 618 is 1
GCD(786, 608, 13, 618) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 608, 13, 618 is 1
GCD(786, 608, 13, 618) = 1
Given Input numbers are 786, 608, 13, 618
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 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 786, 608, 13, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 608, 13, 618 is 1.
Therefore, GCD of numbers 786, 608, 13, 618 is 1
Given Input Data is 786, 608, 13, 618
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 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 13 is 13
Prime Factorization of 618 is 2 x 3 x 103
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, 608) = 238944
GCD(786, 608) = ( 786 x 608 ) / 238944
GCD(786, 608) = 477888 / 238944
GCD(786, 608) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
GCD(1, 618) = 618 / 618
GCD(1, 618) = 1
GCD of 786, 608, 13, 618 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 608, 13, 618?
GCD of 786, 608, 13, 618 is 1
2. Where do I get the detailed procedure to find GCD of 786, 608, 13, 618?
You can find a detailed procedure to find GCD of 786, 608, 13, 618 on our page.
3. How to find GCD of 786, 608, 13, 618 on a calculator?
You can find the GCD of 786, 608, 13, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.