GCD of 684, 565, 649 Calculator

Given Input numbers are 684, 565, 649

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 684, 565, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 565, 649 is 1.

Therefore, GCD of numbers 684, 565, 649 is 1

Given Input Data is 684, 565, 649

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 565 is 5 x 113

Prime Factorization of 649 is 11 x 59

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(684, 565) = 386460

GCD(684, 565) = ( 684 x 565 ) / 386460

GCD(684, 565) = 386460 / 386460

GCD(684, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 684, 565, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 818, 220
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• GCD of 368, 152, 883
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1. What is the GCD of 684, 565, 649?

GCD of 684, 565, 649 is 1

2. Where do I get the detailed procedure to find GCD of 684, 565, 649?

You can find a detailed procedure to find GCD of 684, 565, 649 on our page.

3. How to find GCD of 684, 565, 649 on a calculator?

You can find the GCD of 684, 565, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.