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 370, 543, 794, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 543, 794, 824 is 1
GCD(370, 543, 794, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 543, 794, 824 is 1
GCD(370, 543, 794, 824) = 1
Given Input numbers are 370, 543, 794, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 370, 543, 794, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 543, 794, 824 is 1.
Therefore, GCD of numbers 370, 543, 794, 824 is 1
Given Input Data is 370, 543, 794, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 543 is 3 x 181
Prime Factorization of 794 is 2 x 397
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(370, 543) = 200910
GCD(370, 543) = ( 370 x 543 ) / 200910
GCD(370, 543) = 200910 / 200910
GCD(370, 543) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 370, 543, 794, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 543, 794, 824?
GCD of 370, 543, 794, 824 is 1
2. Where do I get the detailed procedure to find GCD of 370, 543, 794, 824?
You can find a detailed procedure to find GCD of 370, 543, 794, 824 on our page.
3. How to find GCD of 370, 543, 794, 824 on a calculator?
You can find the GCD of 370, 543, 794, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.