GCD of 640, 732, 224, 368 Calculator

Given Input numbers are 640, 732, 224, 368

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 640, 732, 224, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 732, 224, 368 is 4.

Therefore, GCD of numbers 640, 732, 224, 368 is 4

Given Input Data is 640, 732, 224, 368

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(640, 732) = 117120

GCD(640, 732) = ( 640 x 732 ) / 117120

GCD(640, 732) = 468480 / 117120

GCD(640, 732) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 224

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

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

GCD(4, 224) = 896 / 224

GCD(4, 224) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 368

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

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

GCD(4, 368) = 1472 / 368

GCD(4, 368) = 4

GCD of 640, 732, 224, 368 is 4

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1. What is the GCD of 640, 732, 224, 368?

GCD of 640, 732, 224, 368 is 4

2. Where do I get the detailed procedure to find GCD of 640, 732, 224, 368?

You can find a detailed procedure to find GCD of 640, 732, 224, 368 on our page.

3. How to find GCD of 640, 732, 224, 368 on a calculator?

You can find the GCD of 640, 732, 224, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.