Online GCD Calculator is useful to find the GCD of 828, 525, 729, 261 quickly. Get the easiest ways to solve the greatest common divisor of 828, 525, 729, 261 i.e 3 in different methods as follows.
Given Input numbers are 828, 525, 729, 261
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
GCD of numbers is the greatest common divisor
So, the GCD (828, 525, 729, 261) = 3.
Given numbers are 828, 525, 729, 261
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 261 are 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 828, 525, 729, 261 is 3.
Given numbers are 828, 525, 729, 261
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 525) = 144900
GCD(828, 525) = ( 828 x 525 ) / 144900
= 828 / 525
= 828
Step2:
LCM(3, 729) = 729
GCD(3, 729) = ( 3 x 729 ) / 729
= 3 / 729
= 3
Step3:
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
= 3 / 261
= 3
So, Greatest Common Divisor of 828, 525, 729, 261 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 525, 729, 261
The greatest common divisor of numbers 828, 525, 729, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 525, 729, 261 is 3.
1. What is the GCD of 828, 525, 729, 261?
GCD of given numbers 828, 525, 729, 261 is 3
2. How to calculate the greatest common divisor of 828, 525, 729, 261?
We can find the highest common divisor of 828, 525, 729, 261 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 828, 525, 729, 261 i.e 3.
3. How can I use the GCD of 828, 525, 729, 261Calculator?
Out the numbers 828, 525, 729, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.