GCD of 309, 855, 483, 450 Calculator

Given Input numbers are 309, 855, 483, 450

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 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (309, 855, 483, 450) = 3.

Given numbers are 309, 855, 483, 450

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 483 are 3 x 7 x 23

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 309, 855, 483, 450 is 3.

Given numbers are 309, 855, 483, 450

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

Apply this formula for all numbers.

Step1:

LCM(309, 855) = 88065

GCD(309, 855) = ( 309 x 855 ) / 88065

= 309 / 855

= 309

Step2:

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

= 3 / 483

= 3

Step3:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

So, Greatest Common Divisor of 309, 855, 483, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 880, 147, 172
• GCD of 340, 505, 195, 827
• GCD of 479, 524, 849, 144
• GCD of 136, 880, 601, 710
• GCD of 309, 118, 252, 371

Given numbers are 309, 855, 483, 450
The greatest common divisor of numbers 309, 855, 483, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 855, 483, 450 is 3.

1. What is the GCD of 309, 855, 483, 450?

GCD of given numbers 309, 855, 483, 450 is 3

2. How to calculate the greatest common divisor of 309, 855, 483, 450?

We can find the highest common divisor of 309, 855, 483, 450 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, 855, 483, 450 i.e 3.

3. How can I use the GCD of 309, 855, 483, 450Calculator?

Out the numbers 309, 855, 483, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.