GCD of 576, 221, 55, 971 Calculator

Given Input numbers are 576, 221, 55, 971

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 55

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

1, 5, 11, 55

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 576, 221, 55, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 221, 55, 971 is 1.

Therefore, GCD of numbers 576, 221, 55, 971 is 1

Given Input Data is 576, 221, 55, 971

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 221 is 13 x 17

Prime Factorization of 55 is 5 x 11

Prime Factorization of 971 is 971

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(576, 221) = 127296

GCD(576, 221) = ( 576 x 221 ) / 127296

GCD(576, 221) = 127296 / 127296

GCD(576, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 576, 221, 55, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 545, 61, 895
• GCD of 670, 305, 82, 891
• GCD of 340, 170, 99, 185
• GCD of 759, 577, 28, 989
• GCD of 349, 333, 20, 431

1. What is the GCD of 576, 221, 55, 971?

GCD of 576, 221, 55, 971 is 1

2. Where do I get the detailed procedure to find GCD of 576, 221, 55, 971?

You can find a detailed procedure to find GCD of 576, 221, 55, 971 on our page.

3. How to find GCD of 576, 221, 55, 971 on a calculator?

You can find the GCD of 576, 221, 55, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.