GCD of 86, 726, 249, 572 Calculator

Given Input numbers are 86, 726, 249, 572

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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

Greatest Common Divisior

We found the divisors of 86, 726, 249, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 726, 249, 572 is 1.

Therefore, GCD of numbers 86, 726, 249, 572 is 1

Given Input Data is 86, 726, 249, 572

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 249 is 3 x 83

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

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(86, 726) = 31218

GCD(86, 726) = ( 86 x 726 ) / 31218

GCD(86, 726) = 62436 / 31218

GCD(86, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 86, 726, 249, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 788, 679, 329
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• GCD of 25, 191, 424, 530
• GCD of 36, 313, 202, 122

1. What is the GCD of 86, 726, 249, 572?

GCD of 86, 726, 249, 572 is 1

2. Where do I get the detailed procedure to find GCD of 86, 726, 249, 572?

You can find a detailed procedure to find GCD of 86, 726, 249, 572 on our page.

3. How to find GCD of 86, 726, 249, 572 on a calculator?

You can find the GCD of 86, 726, 249, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.