GCD of 816, 674, 784, 868 Calculator

Given Input numbers are 816, 674, 784, 868

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (816, 674, 784, 868) = 2.

Given numbers are 816, 674, 784, 868

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 674 are 2 x 337

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 868 are 2 x 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 816, 674, 784, 868 is 2.

Given numbers are 816, 674, 784, 868

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

Apply this formula for all numbers.

Step1:

LCM(816, 674) = 274992

GCD(816, 674) = ( 816 x 674 ) / 274992

= 816 / 674

= 816

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

= 2 / 868

= 2

So, Greatest Common Divisor of 816, 674, 784, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 135, 864, 949
• GCD of 736, 291, 450, 984
• GCD of 286, 192, 114, 352
• GCD of 127, 588, 231, 521
• GCD of 610, 193, 279, 651

Given numbers are 816, 674, 784, 868
The greatest common divisor of numbers 816, 674, 784, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 674, 784, 868 is 2.

1. What is the GCD of 816, 674, 784, 868?

GCD of given numbers 816, 674, 784, 868 is 2

2. How to calculate the greatest common divisor of 816, 674, 784, 868?

We can find the highest common divisor of 816, 674, 784, 868 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, 674, 784, 868 i.e 2.

3. How can I use the GCD of 816, 674, 784, 868Calculator?

Out the numbers 816, 674, 784, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.