GCD of 268, 648, 49, 589 Calculator

Given Input numbers are 268, 648, 49, 589

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 268, 648, 49, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 648, 49, 589 is 1.

Therefore, GCD of numbers 268, 648, 49, 589 is 1

Given Input Data is 268, 648, 49, 589

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 49 is 7 x 7

Prime Factorization of 589 is 19 x 31

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(268, 648) = 43416

GCD(268, 648) = ( 268 x 648 ) / 43416

GCD(268, 648) = 173664 / 43416

GCD(268, 648) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 268, 648, 49, 589 is 1

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• GCD of 388, 934, 37, 609
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• GCD of 680, 649, 83, 208

1. What is the GCD of 268, 648, 49, 589?

GCD of 268, 648, 49, 589 is 1

2. Where do I get the detailed procedure to find GCD of 268, 648, 49, 589?

You can find a detailed procedure to find GCD of 268, 648, 49, 589 on our page.

3. How to find GCD of 268, 648, 49, 589 on a calculator?

You can find the GCD of 268, 648, 49, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.