GCD of 698, 224, 609, 365 Calculator

Given Input numbers are 698, 224, 609, 365

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 698, 224, 609, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 224, 609, 365 is 1.

Therefore, GCD of numbers 698, 224, 609, 365 is 1

Given Input Data is 698, 224, 609, 365

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

Prime Factorization of 698 is 2 x 349

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 365 is 5 x 73

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(698, 224) = 78176

GCD(698, 224) = ( 698 x 224 ) / 78176

GCD(698, 224) = 156352 / 78176

GCD(698, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 698, 224, 609, 365 is 1

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• GCD of 370, 290, 481, 895
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1. What is the GCD of 698, 224, 609, 365?

GCD of 698, 224, 609, 365 is 1

2. Where do I get the detailed procedure to find GCD of 698, 224, 609, 365?

You can find a detailed procedure to find GCD of 698, 224, 609, 365 on our page.

3. How to find GCD of 698, 224, 609, 365 on a calculator?

You can find the GCD of 698, 224, 609, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.