GCD of 242, 764, 558, 476 Calculator

Given Input numbers are 242, 764, 558, 476

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 242, 764, 558, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 764, 558, 476 is 2.

Therefore, GCD of numbers 242, 764, 558, 476 is 2

Given Input Data is 242, 764, 558, 476

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 558 is 2 x 3 x 3 x 31

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

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(242, 764) = 92444

GCD(242, 764) = ( 242 x 764 ) / 92444

GCD(242, 764) = 184888 / 92444

GCD(242, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 242, 764, 558, 476 is 2

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• GCD of 375, 359, 322, 415
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• GCD of 557, 216, 282, 682

1. What is the GCD of 242, 764, 558, 476?

GCD of 242, 764, 558, 476 is 2

2. Where do I get the detailed procedure to find GCD of 242, 764, 558, 476?

You can find a detailed procedure to find GCD of 242, 764, 558, 476 on our page.

3. How to find GCD of 242, 764, 558, 476 on a calculator?

You can find the GCD of 242, 764, 558, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.