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, 686, 243, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 686, 243, 133 is 1
GCD(738, 686, 243, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 686, 243, 133 is 1
GCD(738, 686, 243, 133) = 1
Given Input numbers are 738, 686, 243, 133
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 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 738, 686, 243, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 686, 243, 133 is 1.
Therefore, GCD of numbers 738, 686, 243, 133 is 1
Given Input Data is 738, 686, 243, 133
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 686 is 2 x 7 x 7 x 7
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 133 is 7 x 19
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, 686) = 253134
GCD(738, 686) = ( 738 x 686 ) / 253134
GCD(738, 686) = 506268 / 253134
GCD(738, 686) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 738, 686, 243, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 686, 243, 133?
GCD of 738, 686, 243, 133 is 1
2. Where do I get the detailed procedure to find GCD of 738, 686, 243, 133?
You can find a detailed procedure to find GCD of 738, 686, 243, 133 on our page.
3. How to find GCD of 738, 686, 243, 133 on a calculator?
You can find the GCD of 738, 686, 243, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.