GCD of 732, 289, 686, 663 Calculator

Given Input numbers are 732, 289, 686, 663

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 732, 289, 686, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 289, 686, 663 is 1.

Therefore, GCD of numbers 732, 289, 686, 663 is 1

Given Input Data is 732, 289, 686, 663

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 289 is 17 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 663 is 3 x 13 x 17

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, 289) = 211548

GCD(732, 289) = ( 732 x 289 ) / 211548

GCD(732, 289) = 211548 / 211548

GCD(732, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 732, 289, 686, 663 is 1

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1. What is the GCD of 732, 289, 686, 663?

GCD of 732, 289, 686, 663 is 1

2. Where do I get the detailed procedure to find GCD of 732, 289, 686, 663?

You can find a detailed procedure to find GCD of 732, 289, 686, 663 on our page.

3. How to find GCD of 732, 289, 686, 663 on a calculator?

You can find the GCD of 732, 289, 686, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.