GCD of 406, 664, 470, 476 Calculator

Given Input numbers are 406, 664, 470, 476

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

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (406, 664, 470, 476) = 2.

Given numbers are 406, 664, 470, 476

The list of prime factors of all numbers are

Prime factors of 406 are 2 x 7 x 29

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 470 are 2 x 5 x 47

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 406, 664, 470, 476 is 2.

Given numbers are 406, 664, 470, 476

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

Apply this formula for all numbers.

Step1:

LCM(406, 664) = 134792

GCD(406, 664) = ( 406 x 664 ) / 134792

= 406 / 664

= 406

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 406, 664, 470, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 788, 356, 164
• GCD of 629, 168, 590, 719
• GCD of 711, 567, 107, 647
• GCD of 891, 150, 380, 155
• GCD of 113, 847, 446, 109

Given numbers are 406, 664, 470, 476
The greatest common divisor of numbers 406, 664, 470, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 664, 470, 476 is 2.

1. What is the GCD of 406, 664, 470, 476?

GCD of given numbers 406, 664, 470, 476 is 2

2. How to calculate the greatest common divisor of 406, 664, 470, 476?

We can find the highest common divisor of 406, 664, 470, 476 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 406, 664, 470, 476 i.e 2.

3. How can I use the GCD of 406, 664, 470, 476Calculator?

Out the numbers 406, 664, 470, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.