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 738, 513, 734, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 513, 734, 386 is 1
GCD(738, 513, 734, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 513, 734, 386 is 1
GCD(738, 513, 734, 386) = 1
Given Input numbers are 738, 513, 734, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 738, 513, 734, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 513, 734, 386 is 1.
Therefore, GCD of numbers 738, 513, 734, 386 is 1
Given Input Data is 738, 513, 734, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 734 is 2 x 367
Prime Factorization of 386 is 2 x 193
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(738, 513) = 42066
GCD(738, 513) = ( 738 x 513 ) / 42066
GCD(738, 513) = 378594 / 42066
GCD(738, 513) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 734) = 6606
GCD(9, 734) = ( 9 x 734 ) / 6606
GCD(9, 734) = 6606 / 6606
GCD(9, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 738, 513, 734, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 513, 734, 386?
GCD of 738, 513, 734, 386 is 1
2. Where do I get the detailed procedure to find GCD of 738, 513, 734, 386?
You can find a detailed procedure to find GCD of 738, 513, 734, 386 on our page.
3. How to find GCD of 738, 513, 734, 386 on a calculator?
You can find the GCD of 738, 513, 734, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.