GCD of 34, 580, 562, 878 Calculator

Given Input numbers are 34, 580, 562, 878

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 562

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

1, 2, 281, 562

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 34, 580, 562, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 580, 562, 878 is 2.

Therefore, GCD of numbers 34, 580, 562, 878 is 2

Given Input Data is 34, 580, 562, 878

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 562 is 2 x 281

Prime Factorization of 878 is 2 x 439

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(34, 580) = 9860

GCD(34, 580) = ( 34 x 580 ) / 9860

GCD(34, 580) = 19720 / 9860

GCD(34, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

GCD of 34, 580, 562, 878 is 2

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• GCD of 21, 225, 135, 367
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1. What is the GCD of 34, 580, 562, 878?

GCD of 34, 580, 562, 878 is 2

2. Where do I get the detailed procedure to find GCD of 34, 580, 562, 878?

You can find a detailed procedure to find GCD of 34, 580, 562, 878 on our page.

3. How to find GCD of 34, 580, 562, 878 on a calculator?

You can find the GCD of 34, 580, 562, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.