GCD of 442, 562, 872, 158 Calculator

Given Input numbers are 442, 562, 872, 158

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 442, 562, 872, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 562, 872, 158 is 2.

Therefore, GCD of numbers 442, 562, 872, 158 is 2

Given Input Data is 442, 562, 872, 158

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 562 is 2 x 281

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 158 is 2 x 79

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(442, 562) = 124202

GCD(442, 562) = ( 442 x 562 ) / 124202

GCD(442, 562) = 248404 / 124202

GCD(442, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 442, 562, 872, 158 is 2

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• GCD of 390, 170, 175, 865
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• GCD of 218, 169, 366, 805
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• GCD of 379, 676, 425, 992

1. What is the GCD of 442, 562, 872, 158?

GCD of 442, 562, 872, 158 is 2

2. Where do I get the detailed procedure to find GCD of 442, 562, 872, 158?

You can find a detailed procedure to find GCD of 442, 562, 872, 158 on our page.

3. How to find GCD of 442, 562, 872, 158 on a calculator?

You can find the GCD of 442, 562, 872, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.