GCD of 784, 304, 744, 372 Calculator

Given Input numbers are 784, 304, 744, 372

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (784, 304, 744, 372) = 4.

Given numbers are 784, 304, 744, 372

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 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2²

Therefore, GCD of 784, 304, 744, 372 is 4.

Given numbers are 784, 304, 744, 372

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

Apply this formula for all numbers.

Step1:

LCM(784, 304) = 14896

GCD(784, 304) = ( 784 x 304 ) / 14896

= 784 / 304

= 784

Step2:

LCM(16, 744) = 1488

GCD(16, 744) = ( 16 x 744 ) / 1488

= 16 / 744

= 16

Step3:

LCM(8, 372) = 744

GCD(8, 372) = ( 8 x 372 ) / 744

= 8 / 372

= 8

So, Greatest Common Divisor of 784, 304, 744, 372 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 891, 300, 732
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• GCD of 864, 124, 879, 475

Given numbers are 784, 304, 744, 372
The greatest common divisor of numbers 784, 304, 744, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 304, 744, 372 is 4.

1. What is the GCD of 784, 304, 744, 372?

GCD of given numbers 784, 304, 744, 372 is 4

2. How to calculate the greatest common divisor of 784, 304, 744, 372?

We can find the highest common divisor of 784, 304, 744, 372 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, 304, 744, 372 i.e 4.

3. How can I use the GCD of 784, 304, 744, 372Calculator?

Out the numbers 784, 304, 744, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.