GCD of 462, 669, 672, 471 Calculator

Given Input numbers are 462, 669, 672, 471

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 471 :

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

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (462, 669, 672, 471) = 3.

Given numbers are 462, 669, 672, 471

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 669 are 3 x 223

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 462, 669, 672, 471 is 3.

Given numbers are 462, 669, 672, 471

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

Apply this formula for all numbers.

Step1:

LCM(462, 669) = 103026

GCD(462, 669) = ( 462 x 669 ) / 103026

= 462 / 669

= 462

Step2:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 462, 669, 672, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 722, 898, 859
• GCD of 192, 616, 702, 499
• GCD of 371, 389, 738, 440
• GCD of 997, 425, 553, 541
• GCD of 480, 660, 643, 550

Given numbers are 462, 669, 672, 471
The greatest common divisor of numbers 462, 669, 672, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 669, 672, 471 is 3.

1. What is the GCD of 462, 669, 672, 471?

GCD of given numbers 462, 669, 672, 471 is 3

2. How to calculate the greatest common divisor of 462, 669, 672, 471?

We can find the highest common divisor of 462, 669, 672, 471 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 462, 669, 672, 471 i.e 3.

3. How can I use the GCD of 462, 669, 672, 471Calculator?

Out the numbers 462, 669, 672, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.