GCD of 667, 827, 30, 649 Calculator

Given Input numbers are 667, 827, 30, 649

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 667, 827, 30, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 827, 30, 649 is 1.

Therefore, GCD of numbers 667, 827, 30, 649 is 1

Given Input Data is 667, 827, 30, 649

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 827 is 827

Prime Factorization of 30 is 2 x 3 x 5

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(667, 827) = 551609

GCD(667, 827) = ( 667 x 827 ) / 551609

GCD(667, 827) = 551609 / 551609

GCD(667, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

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 667, 827, 30, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 705, 74, 326
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• GCD of 113, 140, 78, 241
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1. What is the GCD of 667, 827, 30, 649?

GCD of 667, 827, 30, 649 is 1

2. Where do I get the detailed procedure to find GCD of 667, 827, 30, 649?

You can find a detailed procedure to find GCD of 667, 827, 30, 649 on our page.

3. How to find GCD of 667, 827, 30, 649 on a calculator?

You can find the GCD of 667, 827, 30, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.