GCD of 310, 726, 252, 286 Calculator

Given Input numbers are 310, 726, 252, 286

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 310, 726, 252, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 726, 252, 286 is 2.

Therefore, GCD of numbers 310, 726, 252, 286 is 2

Given Input Data is 310, 726, 252, 286

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

Prime Factorization of 310 is 2 x 5 x 31

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 286 is 2 x 11 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(310, 726) = 112530

GCD(310, 726) = ( 310 x 726 ) / 112530

GCD(310, 726) = 225060 / 112530

GCD(310, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 310, 726, 252, 286 is 2

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1. What is the GCD of 310, 726, 252, 286?

GCD of 310, 726, 252, 286 is 2

2. Where do I get the detailed procedure to find GCD of 310, 726, 252, 286?

You can find a detailed procedure to find GCD of 310, 726, 252, 286 on our page.

3. How to find GCD of 310, 726, 252, 286 on a calculator?

You can find the GCD of 310, 726, 252, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.