GCD of 483, 912, 15, 687 Calculator

Given Input numbers are 483, 912, 15, 687

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

Divisors of 483 :

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

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (483, 912, 15, 687) = 3.

Given numbers are 483, 912, 15, 687

The list of prime factors of all numbers are

Prime factors of 483 are 3 x 7 x 23

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 15 are 3 x 5

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 483, 912, 15, 687 is 3.

Given numbers are 483, 912, 15, 687

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

Apply this formula for all numbers.

Step1:

LCM(483, 912) = 146832

GCD(483, 912) = ( 483 x 912 ) / 146832

= 483 / 912

= 483

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 483, 912, 15, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 220, 47, 718
• GCD of 159, 286, 85, 588
• GCD of 769, 927, 21, 585
• GCD of 189, 850, 85, 833
• GCD of 360, 130, 78, 604

Given numbers are 483, 912, 15, 687
The greatest common divisor of numbers 483, 912, 15, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 483, 912, 15, 687 is 3.

1. What is the GCD of 483, 912, 15, 687?

GCD of given numbers 483, 912, 15, 687 is 3

2. How to calculate the greatest common divisor of 483, 912, 15, 687?

We can find the highest common divisor of 483, 912, 15, 687 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 483, 912, 15, 687 i.e 3.

3. How can I use the GCD of 483, 912, 15, 687Calculator?

Out the numbers 483, 912, 15, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.