GCD of 474, 162, 784, 304 Calculator

Given Input numbers are 474, 162, 784, 304

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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

GCD of numbers is the greatest common divisor

So, the GCD (474, 162, 784, 304) = 2.

Given numbers are 474, 162, 784, 304

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 474, 162, 784, 304 is 2.

Given numbers are 474, 162, 784, 304

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

Apply this formula for all numbers.

Step1:

LCM(474, 162) = 12798

GCD(474, 162) = ( 474 x 162 ) / 12798

= 474 / 162

= 474

Step2:

LCM(6, 784) = 2352

GCD(6, 784) = ( 6 x 784 ) / 2352

= 6 / 784

= 6

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 474, 162, 784, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 770, 527, 959
• GCD of 272, 193, 397, 914
• GCD of 668, 666, 205, 768
• GCD of 171, 226, 470, 711
• GCD of 592, 894, 368, 134

Given numbers are 474, 162, 784, 304
The greatest common divisor of numbers 474, 162, 784, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 162, 784, 304 is 2.

1. What is the GCD of 474, 162, 784, 304?

GCD of given numbers 474, 162, 784, 304 is 2

2. How to calculate the greatest common divisor of 474, 162, 784, 304?

We can find the highest common divisor of 474, 162, 784, 304 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 474, 162, 784, 304 i.e 2.

3. How can I use the GCD of 474, 162, 784, 304Calculator?

Out the numbers 474, 162, 784, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.