GCD of 816, 388, 852, 616 Calculator

Given Input numbers are 816, 388, 852, 616

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 (816, 388, 852, 616) = 4.

Given numbers are 816, 388, 852, 616

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 388 are 2 x 2 x 97

Prime factors of 852 are 2 x 2 x 3 x 71

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

The highest common occurrence is 2²

Therefore, GCD of 816, 388, 852, 616 is 4.

Given numbers are 816, 388, 852, 616

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

Apply this formula for all numbers.

Step1:

LCM(816, 388) = 79152

GCD(816, 388) = ( 816 x 388 ) / 79152

= 816 / 388

= 816

Step2:

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

= 4 / 852

= 4

Step3:

LCM(4, 616) = 616

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

= 4 / 616

= 4

So, Greatest Common Divisor of 816, 388, 852, 616 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 562, 373, 505
• GCD of 350, 408, 362, 131
• GCD of 468, 607, 287, 773
• GCD of 287, 710, 570, 187
• GCD of 793, 830, 247, 386

Given numbers are 816, 388, 852, 616
The greatest common divisor of numbers 816, 388, 852, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 388, 852, 616 is 4.

1. What is the GCD of 816, 388, 852, 616?

GCD of given numbers 816, 388, 852, 616 is 4

2. How to calculate the greatest common divisor of 816, 388, 852, 616?

We can find the highest common divisor of 816, 388, 852, 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 816, 388, 852, 616 i.e 4.

3. How can I use the GCD of 816, 388, 852, 616Calculator?

Out the numbers 816, 388, 852, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.