GCD of 351, 810, 294, 471 Calculator

Given Input numbers are 351, 810, 294, 471

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 (351, 810, 294, 471) = 3.

Given numbers are 351, 810, 294, 471

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 351, 810, 294, 471 is 3.

Given numbers are 351, 810, 294, 471

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

Apply this formula for all numbers.

Step1:

LCM(351, 810) = 10530

GCD(351, 810) = ( 351 x 810 ) / 10530

= 351 / 810

= 351

Step2:

LCM(27, 294) = 2646

GCD(27, 294) = ( 27 x 294 ) / 2646

= 27 / 294

= 27

Step3:

LCM(3, 471) = 471

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

= 3 / 471

= 3

So, Greatest Common Divisor of 351, 810, 294, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 575, 134, 162
• GCD of 619, 802, 304, 550
• GCD of 938, 576, 571, 526
• GCD of 866, 960, 734, 755
• GCD of 181, 631, 288, 607

Given numbers are 351, 810, 294, 471
The greatest common divisor of numbers 351, 810, 294, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 810, 294, 471 is 3.

1. What is the GCD of 351, 810, 294, 471?

GCD of given numbers 351, 810, 294, 471 is 3

2. How to calculate the greatest common divisor of 351, 810, 294, 471?

We can find the highest common divisor of 351, 810, 294, 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 351, 810, 294, 471 i.e 3.

3. How can I use the GCD of 351, 810, 294, 471Calculator?

Out the numbers 351, 810, 294, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.