GCD of 465, 966, 483, 300 Calculator

Given Input numbers are 465, 966, 483, 300

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 483 :

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

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (465, 966, 483, 300) = 3.

Given numbers are 465, 966, 483, 300

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 483 are 3 x 7 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 465, 966, 483, 300 is 3.

Given numbers are 465, 966, 483, 300

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

Apply this formula for all numbers.

Step1:

LCM(465, 966) = 149730

GCD(465, 966) = ( 465 x 966 ) / 149730

= 465 / 966

= 465

Step2:

LCM(3, 483) = 483

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

= 3 / 483

= 3

Step3:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 465, 966, 483, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 465, 813, 539
• GCD of 584, 360, 425, 340
• GCD of 684, 388, 755, 877
• GCD of 584, 221, 552, 694
• GCD of 268, 739, 321, 106

Given numbers are 465, 966, 483, 300
The greatest common divisor of numbers 465, 966, 483, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 966, 483, 300 is 3.

1. What is the GCD of 465, 966, 483, 300?

GCD of given numbers 465, 966, 483, 300 is 3

2. How to calculate the greatest common divisor of 465, 966, 483, 300?

We can find the highest common divisor of 465, 966, 483, 300 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 465, 966, 483, 300 i.e 3.

3. How can I use the GCD of 465, 966, 483, 300Calculator?

Out the numbers 465, 966, 483, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.