GCD of 649, 274, 678 Calculator

Given Input numbers are 649, 274, 678

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

Divisors of 649

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

1, 11, 59, 649

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 649, 274, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 274, 678 is 1.

Therefore, GCD of numbers 649, 274, 678 is 1

Given Input Data is 649, 274, 678

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 274 is 2 x 137

Prime Factorization of 678 is 2 x 3 x 113

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(649, 274) = 177826

GCD(649, 274) = ( 649 x 274 ) / 177826

GCD(649, 274) = 177826 / 177826

GCD(649, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 649, 274, 678 is 1

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1. What is the GCD of 649, 274, 678?

GCD of 649, 274, 678 is 1

2. Where do I get the detailed procedure to find GCD of 649, 274, 678?

You can find a detailed procedure to find GCD of 649, 274, 678 on our page.

3. How to find GCD of 649, 274, 678 on a calculator?

You can find the GCD of 649, 274, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.