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, 671, 437, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 671, 437, 145 is 1
GCD(738, 671, 437, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 671, 437, 145 is 1
GCD(738, 671, 437, 145) = 1
Given Input numbers are 738, 671, 437, 145
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 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 738, 671, 437, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 671, 437, 145 is 1.
Therefore, GCD of numbers 738, 671, 437, 145 is 1
Given Input Data is 738, 671, 437, 145
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 671 is 11 x 61
Prime Factorization of 437 is 19 x 23
Prime Factorization of 145 is 5 x 29
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, 671) = 495198
GCD(738, 671) = ( 738 x 671 ) / 495198
GCD(738, 671) = 495198 / 495198
GCD(738, 671) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 738, 671, 437, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 671, 437, 145?
GCD of 738, 671, 437, 145 is 1
2. Where do I get the detailed procedure to find GCD of 738, 671, 437, 145?
You can find a detailed procedure to find GCD of 738, 671, 437, 145 on our page.
3. How to find GCD of 738, 671, 437, 145 on a calculator?
You can find the GCD of 738, 671, 437, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.