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 525, 725, 734, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 725, 734, 823 is 1
GCD(525, 725, 734, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 725, 734, 823 is 1
GCD(525, 725, 734, 823) = 1
Given Input numbers are 525, 725, 734, 823
To find the GCD of numbers using factoring list out all the divisors of each number
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 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 525, 725, 734, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 725, 734, 823 is 1.
Therefore, GCD of numbers 525, 725, 734, 823 is 1
Given Input Data is 525, 725, 734, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 734 is 2 x 367
Prime Factorization of 823 is 823
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(525, 725) = 15225
GCD(525, 725) = ( 525 x 725 ) / 15225
GCD(525, 725) = 380625 / 15225
GCD(525, 725) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 734) = 18350
GCD(25, 734) = ( 25 x 734 ) / 18350
GCD(25, 734) = 18350 / 18350
GCD(25, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 525, 725, 734, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 725, 734, 823?
GCD of 525, 725, 734, 823 is 1
2. Where do I get the detailed procedure to find GCD of 525, 725, 734, 823?
You can find a detailed procedure to find GCD of 525, 725, 734, 823 on our page.
3. How to find GCD of 525, 725, 734, 823 on a calculator?
You can find the GCD of 525, 725, 734, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.