GCD of 530, 726, 716, 426 Calculator

Given Input numbers are 530, 726, 716, 426

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 530, 726, 716, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 726, 716, 426 is 2.

Therefore, GCD of numbers 530, 726, 716, 426 is 2

Given Input Data is 530, 726, 716, 426

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

Prime Factorization of 530 is 2 x 5 x 53

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 426 is 2 x 3 x 71

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(530, 726) = 192390

GCD(530, 726) = ( 530 x 726 ) / 192390

GCD(530, 726) = 384780 / 192390

GCD(530, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 530, 726, 716, 426 is 2

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1. What is the GCD of 530, 726, 716, 426?

GCD of 530, 726, 716, 426 is 2

2. Where do I get the detailed procedure to find GCD of 530, 726, 716, 426?

You can find a detailed procedure to find GCD of 530, 726, 716, 426 on our page.

3. How to find GCD of 530, 726, 716, 426 on a calculator?

You can find the GCD of 530, 726, 716, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.