GCD of 904, 112, 588, 784 Calculator

Given Input numbers are 904, 112, 588, 784

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

GCD of numbers is the greatest common divisor

So, the GCD (904, 112, 588, 784) = 4.

Given numbers are 904, 112, 588, 784

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 904, 112, 588, 784 is 4.

Given numbers are 904, 112, 588, 784

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

Apply this formula for all numbers.

Step1:

LCM(904, 112) = 12656

GCD(904, 112) = ( 904 x 112 ) / 12656

= 904 / 112

= 904

Step2:

LCM(8, 588) = 1176

GCD(8, 588) = ( 8 x 588 ) / 1176

= 8 / 588

= 8

Step3:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

So, Greatest Common Divisor of 904, 112, 588, 784 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 728, 545, 124
• GCD of 470, 842, 444, 232
• GCD of 668, 375, 967, 754
• GCD of 883, 245, 274, 715
• GCD of 412, 257, 699, 654

Given numbers are 904, 112, 588, 784
The greatest common divisor of numbers 904, 112, 588, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 112, 588, 784 is 4.

1. What is the GCD of 904, 112, 588, 784?

GCD of given numbers 904, 112, 588, 784 is 4

2. How to calculate the greatest common divisor of 904, 112, 588, 784?

We can find the highest common divisor of 904, 112, 588, 784 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 904, 112, 588, 784 i.e 4.

3. How can I use the GCD of 904, 112, 588, 784Calculator?

Out the numbers 904, 112, 588, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.