GCD of 661, 362, 685, 224 Calculator

Given Input numbers are 661, 362, 685, 224

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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

Greatest Common Divisior

We found the divisors of 661, 362, 685, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 362, 685, 224 is 1.

Therefore, GCD of numbers 661, 362, 685, 224 is 1

Given Input Data is 661, 362, 685, 224

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

Prime Factorization of 661 is 661

Prime Factorization of 362 is 2 x 181

Prime Factorization of 685 is 5 x 137

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

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(661, 362) = 239282

GCD(661, 362) = ( 661 x 362 ) / 239282

GCD(661, 362) = 239282 / 239282

GCD(661, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 661, 362, 685, 224 is 1

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1. What is the GCD of 661, 362, 685, 224?

GCD of 661, 362, 685, 224 is 1

2. Where do I get the detailed procedure to find GCD of 661, 362, 685, 224?

You can find a detailed procedure to find GCD of 661, 362, 685, 224 on our page.

3. How to find GCD of 661, 362, 685, 224 on a calculator?

You can find the GCD of 661, 362, 685, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.