GCD of 412, 840, 24, 560 Calculator

Given Input numbers are 412, 840, 24, 560

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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

Greatest Common Divisior

We found the divisors of 412, 840, 24, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 840, 24, 560 is 4.

Therefore, GCD of numbers 412, 840, 24, 560 is 4

Given Input Data is 412, 840, 24, 560

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

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(412, 840) = 86520

GCD(412, 840) = ( 412 x 840 ) / 86520

GCD(412, 840) = 346080 / 86520

GCD(412, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 24

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

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

GCD(4, 24) = 96 / 24

GCD(4, 24) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

GCD of 412, 840, 24, 560 is 4

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• GCD of 441, 772, 92, 523
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• GCD of 311, 702, 85, 561
• GCD of 967, 526, 82, 991

1. What is the GCD of 412, 840, 24, 560?

GCD of 412, 840, 24, 560 is 4

2. Where do I get the detailed procedure to find GCD of 412, 840, 24, 560?

You can find a detailed procedure to find GCD of 412, 840, 24, 560 on our page.

3. How to find GCD of 412, 840, 24, 560 on a calculator?

You can find the GCD of 412, 840, 24, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.