GCD of 784, 468, 266, 488 Calculator

Given Input numbers are 784, 468, 266, 488

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 784, 468, 266, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 468, 266, 488 is 2.

Therefore, GCD of numbers 784, 468, 266, 488 is 2

Given Input Data is 784, 468, 266, 488

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(784, 468) = 91728

GCD(784, 468) = ( 784 x 468 ) / 91728

GCD(784, 468) = 366912 / 91728

GCD(784, 468) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 266

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

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

GCD(4, 266) = 1064 / 532

GCD(4, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 784, 468, 266, 488 is 2

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1. What is the GCD of 784, 468, 266, 488?

GCD of 784, 468, 266, 488 is 2

2. Where do I get the detailed procedure to find GCD of 784, 468, 266, 488?

You can find a detailed procedure to find GCD of 784, 468, 266, 488 on our page.

3. How to find GCD of 784, 468, 266, 488 on a calculator?

You can find the GCD of 784, 468, 266, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.