GCD of 306, 655, 77, 549 Calculator

Given Input numbers are 306, 655, 77, 549

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 306, 655, 77, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 655, 77, 549 is 1.

Therefore, GCD of numbers 306, 655, 77, 549 is 1

Given Input Data is 306, 655, 77, 549

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 655 is 5 x 131

Prime Factorization of 77 is 7 x 11

Prime Factorization of 549 is 3 x 3 x 61

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(306, 655) = 200430

GCD(306, 655) = ( 306 x 655 ) / 200430

GCD(306, 655) = 200430 / 200430

GCD(306, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 306, 655, 77, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 789, 30, 560
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• GCD of 785, 967, 55, 719
• GCD of 811, 740, 31, 741
• GCD of 904, 755, 31, 174

1. What is the GCD of 306, 655, 77, 549?

GCD of 306, 655, 77, 549 is 1

2. Where do I get the detailed procedure to find GCD of 306, 655, 77, 549?

You can find a detailed procedure to find GCD of 306, 655, 77, 549 on our page.

3. How to find GCD of 306, 655, 77, 549 on a calculator?

You can find the GCD of 306, 655, 77, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.