GCD of 562, 138, 34, 478 Calculator

Given Input numbers are 562, 138, 34, 478

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

Divisors of 562

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

1, 2, 281, 562

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 562, 138, 34, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 138, 34, 478 is 2.

Therefore, GCD of numbers 562, 138, 34, 478 is 2

Given Input Data is 562, 138, 34, 478

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 34 is 2 x 17

Prime Factorization of 478 is 2 x 239

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(562, 138) = 38778

GCD(562, 138) = ( 562 x 138 ) / 38778

GCD(562, 138) = 77556 / 38778

GCD(562, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 562, 138, 34, 478 is 2

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1. What is the GCD of 562, 138, 34, 478?

GCD of 562, 138, 34, 478 is 2

2. Where do I get the detailed procedure to find GCD of 562, 138, 34, 478?

You can find a detailed procedure to find GCD of 562, 138, 34, 478 on our page.

3. How to find GCD of 562, 138, 34, 478 on a calculator?

You can find the GCD of 562, 138, 34, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.