GCD of 816, 498, 477, 408 Calculator

Given Input numbers are 816, 498, 477, 408

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (816, 498, 477, 408) = 3.

Given numbers are 816, 498, 477, 408

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 498 are 2 x 3 x 83

Prime factors of 477 are 3 x 3 x 53

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 816, 498, 477, 408 is 3.

Given numbers are 816, 498, 477, 408

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

Apply this formula for all numbers.

Step1:

LCM(816, 498) = 67728

GCD(816, 498) = ( 816 x 498 ) / 67728

= 816 / 498

= 816

Step2:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 816, 498, 477, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 224, 480, 709
• GCD of 391, 256, 515, 544
• GCD of 190, 817, 351, 196
• GCD of 145, 622, 439, 312
• GCD of 758, 401, 439, 102

Given numbers are 816, 498, 477, 408
The greatest common divisor of numbers 816, 498, 477, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 498, 477, 408 is 3.

1. What is the GCD of 816, 498, 477, 408?

GCD of given numbers 816, 498, 477, 408 is 3

2. How to calculate the greatest common divisor of 816, 498, 477, 408?

We can find the highest common divisor of 816, 498, 477, 408 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 816, 498, 477, 408 i.e 3.

3. How can I use the GCD of 816, 498, 477, 408Calculator?

Out the numbers 816, 498, 477, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.