GCD of 312, 471, 621, 687 Calculator

Given Input numbers are 312, 471, 621, 687

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 (312, 471, 621, 687) = 3.

Given numbers are 312, 471, 621, 687

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 471 are 3 x 157

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 312, 471, 621, 687 is 3.

Given numbers are 312, 471, 621, 687

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

Apply this formula for all numbers.

Step1:

LCM(312, 471) = 48984

GCD(312, 471) = ( 312 x 471 ) / 48984

= 312 / 471

= 312

Step2:

LCM(3, 621) = 621

GCD(3, 621) = ( 3 x 621 ) / 621

= 3 / 621

= 3

Step3:

LCM(3, 687) = 687

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

= 3 / 687

= 3

So, Greatest Common Divisor of 312, 471, 621, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 445, 544, 747
• GCD of 949, 822, 660, 358
• GCD of 379, 641, 246, 419
• GCD of 285, 693, 266, 442
• GCD of 183, 502, 845, 168

Given numbers are 312, 471, 621, 687
The greatest common divisor of numbers 312, 471, 621, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 471, 621, 687 is 3.

1. What is the GCD of 312, 471, 621, 687?

GCD of given numbers 312, 471, 621, 687 is 3

2. How to calculate the greatest common divisor of 312, 471, 621, 687?

We can find the highest common divisor of 312, 471, 621, 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 312, 471, 621, 687 i.e 3.

3. How can I use the GCD of 312, 471, 621, 687Calculator?

Out the numbers 312, 471, 621, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.