GCD of 784, 368, 870 Calculator

Given Input numbers are 784, 368, 870

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

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (784, 368, 870) = 2.

Given numbers are 784, 368, 870

The list of prime factors of all numbers are

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 784, 368, 870 is 2.

Given numbers are 784, 368, 870

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

Apply this formula for all numbers.

Step1:

LCM(784, 368) = 18032

GCD(784, 368) = ( 784 x 368 ) / 18032

= 784 / 368

= 784

Step2:

LCM(16, 870) = 6960

GCD(16, 870) = ( 16 x 870 ) / 6960

= 16 / 870

= 16

So, Greatest Common Divisor of 784, 368, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 352, 118
• GCD of 540, 310, 591
• GCD of 903, 720, 639
• GCD of 834, 945, 418
• GCD of 403, 894, 218

Given numbers are 784, 368, 870
The greatest common divisor of numbers 784, 368, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 368, 870 is 2.

1. What is the GCD of 784, 368, 870?

GCD of given numbers 784, 368, 870 is 2

2. How to calculate the greatest common divisor of 784, 368, 870?

We can find the highest common divisor of 784, 368, 870 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 784, 368, 870 i.e 2.

3. How can I use the GCD of 784, 368, 870Calculator?

Out the numbers 784, 368, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.