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 743, 525, 184, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 525, 184, 792 is 1
GCD(743, 525, 184, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 525, 184, 792 is 1
GCD(743, 525, 184, 792) = 1
Given Input numbers are 743, 525, 184, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 743, 525, 184, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 525, 184, 792 is 1.
Therefore, GCD of numbers 743, 525, 184, 792 is 1
Given Input Data is 743, 525, 184, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
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(743, 525) = 390075
GCD(743, 525) = ( 743 x 525 ) / 390075
GCD(743, 525) = 390075 / 390075
GCD(743, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 743, 525, 184, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 525, 184, 792?
GCD of 743, 525, 184, 792 is 1
2. Where do I get the detailed procedure to find GCD of 743, 525, 184, 792?
You can find a detailed procedure to find GCD of 743, 525, 184, 792 on our page.
3. How to find GCD of 743, 525, 184, 792 on a calculator?
You can find the GCD of 743, 525, 184, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.