GCD of 821, 729, 495, 825 Calculator

Given Input numbers are 821, 729, 495, 825

In the factoring method, we have to find the divisors of all numbers

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (821, 729, 495, 825) = 1.

Given numbers are 821, 729, 495, 825

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 821, 729, 495, 825

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(821, 729) = 598509

GCD(821, 729) = ( 821 x 729 ) / 598509

= 821 / 729

= 821

Step2:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 821, 729, 495, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 130, 795, 227
• GCD of 225, 713, 116, 518
• GCD of 800, 618, 498, 158
• GCD of 888, 576, 431, 785
• GCD of 984, 695, 663, 666

Given numbers are 821, 729, 495, 825
The greatest common divisor of numbers 821, 729, 495, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 729, 495, 825 is 1.

1. What is the GCD of 821, 729, 495, 825?

GCD of given numbers 821, 729, 495, 825 is 1

2. How to calculate the greatest common divisor of 821, 729, 495, 825?

We can find the highest common divisor of 821, 729, 495, 825 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 821, 729, 495, 825 i.e 1.

3. How can I use the GCD of 821, 729, 495, 825Calculator?

Out the numbers 821, 729, 495, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.