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 545, 744, 813, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 744, 813, 837 is 1
GCD(545, 744, 813, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 744, 813, 837 is 1
GCD(545, 744, 813, 837) = 1
Given Input numbers are 545, 744, 813, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 545, 744, 813, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 744, 813, 837 is 1.
Therefore, GCD of numbers 545, 744, 813, 837 is 1
Given Input Data is 545, 744, 813, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 813 is 3 x 271
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(545, 744) = 405480
GCD(545, 744) = ( 545 x 744 ) / 405480
GCD(545, 744) = 405480 / 405480
GCD(545, 744) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 813) = 813
GCD(1, 813) = ( 1 x 813 ) / 813
GCD(1, 813) = 813 / 813
GCD(1, 813) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 545, 744, 813, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 744, 813, 837?
GCD of 545, 744, 813, 837 is 1
2. Where do I get the detailed procedure to find GCD of 545, 744, 813, 837?
You can find a detailed procedure to find GCD of 545, 744, 813, 837 on our page.
3. How to find GCD of 545, 744, 813, 837 on a calculator?
You can find the GCD of 545, 744, 813, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.