GCD of 828, 972, 309, 303 Calculator

Given Input numbers are 828, 972, 309, 303

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (828, 972, 309, 303) = 3.

Given numbers are 828, 972, 309, 303

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 309 are 3 x 103

Prime factors of 303 are 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 828, 972, 309, 303 is 3.

Given numbers are 828, 972, 309, 303

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

Apply this formula for all numbers.

Step1:

LCM(828, 972) = 22356

GCD(828, 972) = ( 828 x 972 ) / 22356

= 828 / 972

= 828

Step2:

LCM(36, 309) = 3708

GCD(36, 309) = ( 36 x 309 ) / 3708

= 36 / 309

= 36

Step3:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

So, Greatest Common Divisor of 828, 972, 309, 303 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 615, 216, 505
• GCD of 722, 754, 445, 944
• GCD of 402, 541, 787, 684
• GCD of 909, 193, 880, 122
• GCD of 287, 348, 787, 353

Given numbers are 828, 972, 309, 303
The greatest common divisor of numbers 828, 972, 309, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 972, 309, 303 is 3.

1. What is the GCD of 828, 972, 309, 303?

GCD of given numbers 828, 972, 309, 303 is 3

2. How to calculate the greatest common divisor of 828, 972, 309, 303?

We can find the highest common divisor of 828, 972, 309, 303 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, 972, 309, 303 i.e 3.

3. How can I use the GCD of 828, 972, 309, 303Calculator?

Out the numbers 828, 972, 309, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.