GCD of 55, 288, 312, 677 Calculator

Given Input numbers are 55, 288, 312, 677

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 55, 288, 312, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 288, 312, 677 is 1.

Therefore, GCD of numbers 55, 288, 312, 677 is 1

Given Input Data is 55, 288, 312, 677

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 677 is 677

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(55, 288) = 15840

GCD(55, 288) = ( 55 x 288 ) / 15840

GCD(55, 288) = 15840 / 15840

GCD(55, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 55, 288, 312, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 778, 921, 581
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• GCD of 65, 446, 499, 577

1. What is the GCD of 55, 288, 312, 677?

GCD of 55, 288, 312, 677 is 1

2. Where do I get the detailed procedure to find GCD of 55, 288, 312, 677?

You can find a detailed procedure to find GCD of 55, 288, 312, 677 on our page.

3. How to find GCD of 55, 288, 312, 677 on a calculator?

You can find the GCD of 55, 288, 312, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.