GCD of 84, 412, 297, 577 Calculator

Given Input numbers are 84, 412, 297, 577

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 84, 412, 297, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 412, 297, 577 is 1.

Therefore, GCD of numbers 84, 412, 297, 577 is 1

Given Input Data is 84, 412, 297, 577

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 577 is 577

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(84, 412) = 8652

GCD(84, 412) = ( 84 x 412 ) / 8652

GCD(84, 412) = 34608 / 8652

GCD(84, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 297

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

LCM(4, 297) = 1188

GCD(4, 297) = ( 4 x 297 ) / 1188

GCD(4, 297) = 1188 / 1188

GCD(4, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 84, 412, 297, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 747, 635, 154
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• GCD of 76, 655, 514, 987
• GCD of 28, 450, 294, 641
• GCD of 57, 424, 781, 462

1. What is the GCD of 84, 412, 297, 577?

GCD of 84, 412, 297, 577 is 1

2. Where do I get the detailed procedure to find GCD of 84, 412, 297, 577?

You can find a detailed procedure to find GCD of 84, 412, 297, 577 on our page.

3. How to find GCD of 84, 412, 297, 577 on a calculator?

You can find the GCD of 84, 412, 297, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.