GCD of 648, 460, 316, 476 Calculator

Given Input numbers are 648, 460, 316, 476

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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

Greatest Common Divisior

We found the divisors of 648, 460, 316, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 460, 316, 476 is 4.

Therefore, GCD of numbers 648, 460, 316, 476 is 4

Given Input Data is 648, 460, 316, 476

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 316 is 2 x 2 x 79

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(648, 460) = 74520

GCD(648, 460) = ( 648 x 460 ) / 74520

GCD(648, 460) = 298080 / 74520

GCD(648, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 316

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

LCM(4, 316) = 316

GCD(4, 316) = ( 4 x 316 ) / 316

GCD(4, 316) = 1264 / 316

GCD(4, 316) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 476

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

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

GCD(4, 476) = 1904 / 476

GCD(4, 476) = 4

GCD of 648, 460, 316, 476 is 4

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1. What is the GCD of 648, 460, 316, 476?

GCD of 648, 460, 316, 476 is 4

2. Where do I get the detailed procedure to find GCD of 648, 460, 316, 476?

You can find a detailed procedure to find GCD of 648, 460, 316, 476 on our page.

3. How to find GCD of 648, 460, 316, 476 on a calculator?

You can find the GCD of 648, 460, 316, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.