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, 543, 74, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 543, 74, 301 is 1
GCD(738, 543, 74, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 543, 74, 301 is 1
GCD(738, 543, 74, 301) = 1
Given Input numbers are 738, 543, 74, 301
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 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 738, 543, 74, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 543, 74, 301 is 1.
Therefore, GCD of numbers 738, 543, 74, 301 is 1
Given Input Data is 738, 543, 74, 301
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 543 is 3 x 181
Prime Factorization of 74 is 2 x 37
Prime Factorization of 301 is 7 x 43
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, 543) = 133578
GCD(738, 543) = ( 738 x 543 ) / 133578
GCD(738, 543) = 400734 / 133578
GCD(738, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 74) = 222
GCD(3, 74) = ( 3 x 74 ) / 222
GCD(3, 74) = 222 / 222
GCD(3, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 738, 543, 74, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 543, 74, 301?
GCD of 738, 543, 74, 301 is 1
2. Where do I get the detailed procedure to find GCD of 738, 543, 74, 301?
You can find a detailed procedure to find GCD of 738, 543, 74, 301 on our page.
3. How to find GCD of 738, 543, 74, 301 on a calculator?
You can find the GCD of 738, 543, 74, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.