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, 548, 241, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 548, 241, 832 is 1
GCD(738, 548, 241, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 548, 241, 832 is 1
GCD(738, 548, 241, 832) = 1
Given Input numbers are 738, 548, 241, 832
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 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 738, 548, 241, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 548, 241, 832 is 1.
Therefore, GCD of numbers 738, 548, 241, 832 is 1
Given Input Data is 738, 548, 241, 832
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 548 is 2 x 2 x 137
Prime Factorization of 241 is 241
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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, 548) = 202212
GCD(738, 548) = ( 738 x 548 ) / 202212
GCD(738, 548) = 404424 / 202212
GCD(738, 548) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 241) = 482
GCD(2, 241) = ( 2 x 241 ) / 482
GCD(2, 241) = 482 / 482
GCD(2, 241) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
GCD of 738, 548, 241, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 548, 241, 832?
GCD of 738, 548, 241, 832 is 1
2. Where do I get the detailed procedure to find GCD of 738, 548, 241, 832?
You can find a detailed procedure to find GCD of 738, 548, 241, 832 on our page.
3. How to find GCD of 738, 548, 241, 832 on a calculator?
You can find the GCD of 738, 548, 241, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.