GCD of 560, 148, 344, 580 Calculator

Given Input numbers are 560, 148, 344, 580

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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

Greatest Common Divisior

We found the divisors of 560, 148, 344, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 148, 344, 580 is 4.

Therefore, GCD of numbers 560, 148, 344, 580 is 4

Given Input Data is 560, 148, 344, 580

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 344 is 2 x 2 x 2 x 43

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(560, 148) = 20720

GCD(560, 148) = ( 560 x 148 ) / 20720

GCD(560, 148) = 82880 / 20720

GCD(560, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 344

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

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

GCD(4, 344) = 1376 / 344

GCD(4, 344) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 580

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

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

GCD(4, 580) = 2320 / 580

GCD(4, 580) = 4

GCD of 560, 148, 344, 580 is 4

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1. What is the GCD of 560, 148, 344, 580?

GCD of 560, 148, 344, 580 is 4

2. Where do I get the detailed procedure to find GCD of 560, 148, 344, 580?

You can find a detailed procedure to find GCD of 560, 148, 344, 580 on our page.

3. How to find GCD of 560, 148, 344, 580 on a calculator?

You can find the GCD of 560, 148, 344, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.