GCD of 414, 478, 46, 560 Calculator

Given Input numbers are 414, 478, 46, 560

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 478

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

1, 2, 239, 478

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 414, 478, 46, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 478, 46, 560 is 2.

Therefore, GCD of numbers 414, 478, 46, 560 is 2

Given Input Data is 414, 478, 46, 560

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 478 is 2 x 239

Prime Factorization of 46 is 2 x 23

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

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(414, 478) = 98946

GCD(414, 478) = ( 414 x 478 ) / 98946

GCD(414, 478) = 197892 / 98946

GCD(414, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 414, 478, 46, 560 is 2

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1. What is the GCD of 414, 478, 46, 560?

GCD of 414, 478, 46, 560 is 2

2. Where do I get the detailed procedure to find GCD of 414, 478, 46, 560?

You can find a detailed procedure to find GCD of 414, 478, 46, 560 on our page.

3. How to find GCD of 414, 478, 46, 560 on a calculator?

You can find the GCD of 414, 478, 46, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.