GCD of 716, 784, 944, 288 Calculator

Given Input numbers are 716, 784, 944, 288

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (716, 784, 944, 288) = 4.

Given numbers are 716, 784, 944, 288

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

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

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 716, 784, 944, 288 is 4.

Given numbers are 716, 784, 944, 288

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

Apply this formula for all numbers.

Step1:

LCM(716, 784) = 140336

GCD(716, 784) = ( 716 x 784 ) / 140336

= 716 / 784

= 716

Step2:

LCM(4, 944) = 944

GCD(4, 944) = ( 4 x 944 ) / 944

= 4 / 944

= 4

Step3:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 716, 784, 944, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 810, 620, 484
• GCD of 350, 912, 152, 400
• GCD of 935, 106, 989, 443
• GCD of 325, 462, 954, 884
• GCD of 300, 431, 848, 791

Given numbers are 716, 784, 944, 288
The greatest common divisor of numbers 716, 784, 944, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 784, 944, 288 is 4.

1. What is the GCD of 716, 784, 944, 288?

GCD of given numbers 716, 784, 944, 288 is 4

2. How to calculate the greatest common divisor of 716, 784, 944, 288?

We can find the highest common divisor of 716, 784, 944, 288 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 716, 784, 944, 288 i.e 4.

3. How can I use the GCD of 716, 784, 944, 288Calculator?

Out the numbers 716, 784, 944, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.