GCD of 107, 572, 588, 583 Calculator

Given Input numbers are 107, 572, 588, 583

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 107, 572, 588, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 572, 588, 583 is 1.

Therefore, GCD of numbers 107, 572, 588, 583 is 1

Given Input Data is 107, 572, 588, 583

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

Prime Factorization of 107 is 107

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 583 is 11 x 53

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(107, 572) = 61204

GCD(107, 572) = ( 107 x 572 ) / 61204

GCD(107, 572) = 61204 / 61204

GCD(107, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 107, 572, 588, 583 is 1

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1. What is the GCD of 107, 572, 588, 583?

GCD of 107, 572, 588, 583 is 1

2. Where do I get the detailed procedure to find GCD of 107, 572, 588, 583?

You can find a detailed procedure to find GCD of 107, 572, 588, 583 on our page.

3. How to find GCD of 107, 572, 588, 583 on a calculator?

You can find the GCD of 107, 572, 588, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.