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, 891, 11, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 891, 11, 390 is 1
GCD(525, 891, 11, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 891, 11, 390 is 1
GCD(525, 891, 11, 390) = 1
Given Input numbers are 525, 891, 11, 390
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 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 525, 891, 11, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 891, 11, 390 is 1.
Therefore, GCD of numbers 525, 891, 11, 390 is 1
Given Input Data is 525, 891, 11, 390
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 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 11 is 11
Prime Factorization of 390 is 2 x 3 x 5 x 13
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, 891) = 155925
GCD(525, 891) = ( 525 x 891 ) / 155925
GCD(525, 891) = 467775 / 155925
GCD(525, 891) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 11) = 33
GCD(3, 11) = ( 3 x 11 ) / 33
GCD(3, 11) = 33 / 33
GCD(3, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 525, 891, 11, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 891, 11, 390?
GCD of 525, 891, 11, 390 is 1
2. Where do I get the detailed procedure to find GCD of 525, 891, 11, 390?
You can find a detailed procedure to find GCD of 525, 891, 11, 390 on our page.
3. How to find GCD of 525, 891, 11, 390 on a calculator?
You can find the GCD of 525, 891, 11, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.