GCD of 812, 304, 496, 616 Calculator

Given Input numbers are 812, 304, 496, 616

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (812, 304, 496, 616) = 4.

Given numbers are 812, 304, 496, 616

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 812, 304, 496, 616 is 4.

Given numbers are 812, 304, 496, 616

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

Apply this formula for all numbers.

Step1:

LCM(812, 304) = 61712

GCD(812, 304) = ( 812 x 304 ) / 61712

= 812 / 304

= 812

Step2:

LCM(4, 496) = 496

GCD(4, 496) = ( 4 x 496 ) / 496

= 4 / 496

= 4

Step3:

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

= 4 / 616

= 4

So, Greatest Common Divisor of 812, 304, 496, 616 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 872, 894, 316
• GCD of 975, 828, 517, 671
• GCD of 994, 435, 817, 381
• GCD of 498, 442, 809, 276
• GCD of 118, 469, 452, 251

Given numbers are 812, 304, 496, 616
The greatest common divisor of numbers 812, 304, 496, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 304, 496, 616 is 4.

1. What is the GCD of 812, 304, 496, 616?

GCD of given numbers 812, 304, 496, 616 is 4

2. How to calculate the greatest common divisor of 812, 304, 496, 616?

We can find the highest common divisor of 812, 304, 496, 616 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 812, 304, 496, 616 i.e 4.

3. How can I use the GCD of 812, 304, 496, 616Calculator?

Out the numbers 812, 304, 496, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.