GCD of 824, 406, 660, 478 Calculator

Given Input numbers are 824, 406, 660, 478

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 406 :

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

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (824, 406, 660, 478) = 2.

Given numbers are 824, 406, 660, 478

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 406 are 2 x 7 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 824, 406, 660, 478 is 2.

Given numbers are 824, 406, 660, 478

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

Apply this formula for all numbers.

Step1:

LCM(824, 406) = 167272

GCD(824, 406) = ( 824 x 406 ) / 167272

= 824 / 406

= 824

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 824, 406, 660, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 224, 487, 434
• GCD of 195, 300, 314, 504
• GCD of 724, 111, 251, 494
• GCD of 199, 214, 962, 205
• GCD of 225, 762, 423, 209

Given numbers are 824, 406, 660, 478
The greatest common divisor of numbers 824, 406, 660, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 406, 660, 478 is 2.

1. What is the GCD of 824, 406, 660, 478?

GCD of given numbers 824, 406, 660, 478 is 2

2. How to calculate the greatest common divisor of 824, 406, 660, 478?

We can find the highest common divisor of 824, 406, 660, 478 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 824, 406, 660, 478 i.e 2.

3. How can I use the GCD of 824, 406, 660, 478Calculator?

Out the numbers 824, 406, 660, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.