GCD of 470, 656, 436, 406 Calculator

Given Input numbers are 470, 656, 436, 406

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

Divisors of 470 :

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

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 406 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (470, 656, 436, 406) = 2.

Given numbers are 470, 656, 436, 406

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 436 are 2 x 2 x 109

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 470, 656, 436, 406 is 2.

Given numbers are 470, 656, 436, 406

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

Apply this formula for all numbers.

Step1:

LCM(470, 656) = 154160

GCD(470, 656) = ( 470 x 656 ) / 154160

= 470 / 656

= 470

Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

Step3:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

So, Greatest Common Divisor of 470, 656, 436, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 829, 188, 659
• GCD of 516, 883, 591, 300
• GCD of 200, 490, 377, 972
• GCD of 772, 866, 278, 427
• GCD of 672, 469, 225, 913

Given numbers are 470, 656, 436, 406
The greatest common divisor of numbers 470, 656, 436, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 656, 436, 406 is 2.

1. What is the GCD of 470, 656, 436, 406?

GCD of given numbers 470, 656, 436, 406 is 2

2. How to calculate the greatest common divisor of 470, 656, 436, 406?

We can find the highest common divisor of 470, 656, 436, 406 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 470, 656, 436, 406 i.e 2.

3. How can I use the GCD of 470, 656, 436, 406Calculator?

Out the numbers 470, 656, 436, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.