GCD of 732, 224, 697, 417 Calculator

Given Input numbers are 732, 224, 697, 417

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

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 732, 224, 697, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 224, 697, 417 is 1.

Therefore, GCD of numbers 732, 224, 697, 417 is 1

Given Input Data is 732, 224, 697, 417

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

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 697 is 17 x 41

Prime Factorization of 417 is 3 x 139

The above numbers do not have any common prime factor. So GCD is 1

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(732, 224) = 40992

GCD(732, 224) = ( 732 x 224 ) / 40992

GCD(732, 224) = 163968 / 40992

GCD(732, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 697

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

LCM(4, 697) = 2788

GCD(4, 697) = ( 4 x 697 ) / 2788

GCD(4, 697) = 2788 / 2788

GCD(4, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 732, 224, 697, 417 is 1

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1. What is the GCD of 732, 224, 697, 417?

GCD of 732, 224, 697, 417 is 1

2. Where do I get the detailed procedure to find GCD of 732, 224, 697, 417?

You can find a detailed procedure to find GCD of 732, 224, 697, 417 on our page.

3. How to find GCD of 732, 224, 697, 417 on a calculator?

You can find the GCD of 732, 224, 697, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.