GCD of 309, 480, 828, 996 Calculator

Given Input numbers are 309, 480, 828, 996

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (309, 480, 828, 996) = 3.

Given numbers are 309, 480, 828, 996

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 309, 480, 828, 996 is 3.

Given numbers are 309, 480, 828, 996

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

Apply this formula for all numbers.

Step1:

LCM(309, 480) = 49440

GCD(309, 480) = ( 309 x 480 ) / 49440

= 309 / 480

= 309

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 309, 480, 828, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 204, 189, 165
• GCD of 625, 460, 674, 797
• GCD of 190, 838, 691, 381
• GCD of 978, 752, 931, 570
• GCD of 221, 938, 145, 986

Given numbers are 309, 480, 828, 996
The greatest common divisor of numbers 309, 480, 828, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 480, 828, 996 is 3.

1. What is the GCD of 309, 480, 828, 996?

GCD of given numbers 309, 480, 828, 996 is 3

2. How to calculate the greatest common divisor of 309, 480, 828, 996?

We can find the highest common divisor of 309, 480, 828, 996 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 309, 480, 828, 996 i.e 3.

3. How can I use the GCD of 309, 480, 828, 996Calculator?

Out the numbers 309, 480, 828, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.