GCD of 224, 792, 560, 420 Calculator

Given Input numbers are 224, 792, 560, 420

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

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 224, 792, 560, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 792, 560, 420 is 4.

Therefore, GCD of numbers 224, 792, 560, 420 is 4

Given Input Data is 224, 792, 560, 420

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

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

Prime Factorization of 420 is 2 x 2 x 3 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(224, 792) = 22176

GCD(224, 792) = ( 224 x 792 ) / 22176

GCD(224, 792) = 177408 / 22176

GCD(224, 792) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 560

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

LCM(8, 560) = 560

GCD(8, 560) = ( 8 x 560 ) / 560

GCD(8, 560) = 4480 / 560

GCD(8, 560) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 420

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

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

GCD(8, 420) = 3360 / 840

GCD(8, 420) = 4

GCD of 224, 792, 560, 420 is 4

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1. What is the GCD of 224, 792, 560, 420?

GCD of 224, 792, 560, 420 is 4

2. Where do I get the detailed procedure to find GCD of 224, 792, 560, 420?

You can find a detailed procedure to find GCD of 224, 792, 560, 420 on our page.

3. How to find GCD of 224, 792, 560, 420 on a calculator?

You can find the GCD of 224, 792, 560, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.