GCD of 756, 224, 560, 404 Calculator

Given Input numbers are 756, 224, 560, 404

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 756, 224, 560, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 224, 560, 404 is 4.

Therefore, GCD of numbers 756, 224, 560, 404 is 4

Given Input Data is 756, 224, 560, 404

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 404 is 2 x 2 x 101

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(756, 224) = 6048

GCD(756, 224) = ( 756 x 224 ) / 6048

GCD(756, 224) = 169344 / 6048

GCD(756, 224) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 560

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

LCM(28, 560) = 560

GCD(28, 560) = ( 28 x 560 ) / 560

GCD(28, 560) = 15680 / 560

GCD(28, 560) = 28

Step3:

Here we consider the GCD from the above i.e. 28 as first number and the next as 404

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

LCM(28, 404) = 2828

GCD(28, 404) = ( 28 x 404 ) / 2828

GCD(28, 404) = 11312 / 2828

GCD(28, 404) = 4

GCD of 756, 224, 560, 404 is 4

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1. What is the GCD of 756, 224, 560, 404?

GCD of 756, 224, 560, 404 is 4

2. Where do I get the detailed procedure to find GCD of 756, 224, 560, 404?

You can find a detailed procedure to find GCD of 756, 224, 560, 404 on our page.

3. How to find GCD of 756, 224, 560, 404 on a calculator?

You can find the GCD of 756, 224, 560, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.