GCD of 906, 438, 810, 429 Calculator

Given Input numbers are 906, 438, 810, 429

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (906, 438, 810, 429) = 3.

Given numbers are 906, 438, 810, 429

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 906, 438, 810, 429 is 3.

Given numbers are 906, 438, 810, 429

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

Apply this formula for all numbers.

Step1:

LCM(906, 438) = 66138

GCD(906, 438) = ( 906 x 438 ) / 66138

= 906 / 438

= 906

Step2:

LCM(6, 810) = 810

GCD(6, 810) = ( 6 x 810 ) / 810

= 6 / 810

= 6

Step3:

LCM(6, 429) = 858

GCD(6, 429) = ( 6 x 429 ) / 858

= 6 / 429

= 6

So, Greatest Common Divisor of 906, 438, 810, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 712, 626, 724
• GCD of 976, 420, 995, 396
• GCD of 440, 894, 975, 931
• GCD of 723, 631, 914, 267
• GCD of 326, 622, 754, 952

Given numbers are 906, 438, 810, 429
The greatest common divisor of numbers 906, 438, 810, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 438, 810, 429 is 3.

1. What is the GCD of 906, 438, 810, 429?

GCD of given numbers 906, 438, 810, 429 is 3

2. How to calculate the greatest common divisor of 906, 438, 810, 429?

We can find the highest common divisor of 906, 438, 810, 429 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 906, 438, 810, 429 i.e 3.

3. How can I use the GCD of 906, 438, 810, 429Calculator?

Out the numbers 906, 438, 810, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.