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 306, 749, 731, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 749, 731, 685 is 1
GCD(306, 749, 731, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 749, 731, 685 is 1
GCD(306, 749, 731, 685) = 1
Given Input numbers are 306, 749, 731, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 306, 749, 731, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 749, 731, 685 is 1.
Therefore, GCD of numbers 306, 749, 731, 685 is 1
Given Input Data is 306, 749, 731, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 749 is 7 x 107
Prime Factorization of 731 is 17 x 43
Prime Factorization of 685 is 5 x 137
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(306, 749) = 229194
GCD(306, 749) = ( 306 x 749 ) / 229194
GCD(306, 749) = 229194 / 229194
GCD(306, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 306, 749, 731, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 749, 731, 685?
GCD of 306, 749, 731, 685 is 1
2. Where do I get the detailed procedure to find GCD of 306, 749, 731, 685?
You can find a detailed procedure to find GCD of 306, 749, 731, 685 on our page.
3. How to find GCD of 306, 749, 731, 685 on a calculator?
You can find the GCD of 306, 749, 731, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.