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 843, 514, 74, 744 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 514, 74, 744 is 1
GCD(843, 514, 74, 744) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 514, 74, 744 is 1
GCD(843, 514, 74, 744) = 1
Given Input numbers are 843, 514, 74, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
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
Greatest Common Divisior
We found the divisors of 843, 514, 74, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 514, 74, 744 is 1.
Therefore, GCD of numbers 843, 514, 74, 744 is 1
Given Input Data is 843, 514, 74, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 514 is 2 x 257
Prime Factorization of 74 is 2 x 37
Prime Factorization of 744 is 2 x 2 x 2 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(843, 514) = 433302
GCD(843, 514) = ( 843 x 514 ) / 433302
GCD(843, 514) = 433302 / 433302
GCD(843, 514) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
GCD(1, 744) = 744 / 744
GCD(1, 744) = 1
GCD of 843, 514, 74, 744 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 514, 74, 744?
GCD of 843, 514, 74, 744 is 1
2. Where do I get the detailed procedure to find GCD of 843, 514, 74, 744?
You can find a detailed procedure to find GCD of 843, 514, 74, 744 on our page.
3. How to find GCD of 843, 514, 74, 744 on a calculator?
You can find the GCD of 843, 514, 74, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.