GCD of 828, 909, 21, 186 Calculator

Given Input numbers are 828, 909, 21, 186

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

GCD of numbers is the greatest common divisor

So, the GCD (828, 909, 21, 186) = 3.

Given numbers are 828, 909, 21, 186

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 909 are 3 x 3 x 101

Prime factors of 21 are 3 x 7

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 828, 909, 21, 186 is 3.

Given numbers are 828, 909, 21, 186

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

Apply this formula for all numbers.

Step1:

LCM(828, 909) = 83628

GCD(828, 909) = ( 828 x 909 ) / 83628

= 828 / 909

= 828

Step2:

LCM(9, 21) = 63

GCD(9, 21) = ( 9 x 21 ) / 63

= 9 / 21

= 9

Step3:

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

= 3 / 186

= 3

So, Greatest Common Divisor of 828, 909, 21, 186 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 987, 24, 386
• GCD of 858, 619, 55, 963
• GCD of 803, 641, 62, 863
• GCD of 541, 774, 12, 367
• GCD of 677, 471, 74, 295

Given numbers are 828, 909, 21, 186
The greatest common divisor of numbers 828, 909, 21, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 909, 21, 186 is 3.

1. What is the GCD of 828, 909, 21, 186?

GCD of given numbers 828, 909, 21, 186 is 3

2. How to calculate the greatest common divisor of 828, 909, 21, 186?

We can find the highest common divisor of 828, 909, 21, 186 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, 909, 21, 186 i.e 3.

3. How can I use the GCD of 828, 909, 21, 186Calculator?

Out the numbers 828, 909, 21, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.