GCD of 476, 176, 96, 434 Calculator

Given Input numbers are 476, 176, 96, 434

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 476, 176, 96, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 176, 96, 434 is 2.

Therefore, GCD of numbers 476, 176, 96, 434 is 2

Given Input Data is 476, 176, 96, 434

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 434 is 2 x 7 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(476, 176) = 20944

GCD(476, 176) = ( 476 x 176 ) / 20944

GCD(476, 176) = 83776 / 20944

GCD(476, 176) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 434

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

LCM(4, 434) = 868

GCD(4, 434) = ( 4 x 434 ) / 868

GCD(4, 434) = 1736 / 868

GCD(4, 434) = 2

GCD of 476, 176, 96, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 525, 23, 330
• GCD of 599, 365, 45, 963
• GCD of 792, 583, 77, 563
• GCD of 352, 699, 24, 761
• GCD of 545, 654, 81, 321

1. What is the GCD of 476, 176, 96, 434?

GCD of 476, 176, 96, 434 is 2

2. Where do I get the detailed procedure to find GCD of 476, 176, 96, 434?

You can find a detailed procedure to find GCD of 476, 176, 96, 434 on our page.

3. How to find GCD of 476, 176, 96, 434 on a calculator?

You can find the GCD of 476, 176, 96, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.