GCD of 712, 978, 526, 540 Calculator

Given Input numbers are 712, 978, 526, 540

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 712, 978, 526, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 978, 526, 540 is 2.

Therefore, GCD of numbers 712, 978, 526, 540 is 2

Given Input Data is 712, 978, 526, 540

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 526 is 2 x 263

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(712, 978) = 348168

GCD(712, 978) = ( 712 x 978 ) / 348168

GCD(712, 978) = 696336 / 348168

GCD(712, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 526

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

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

GCD(2, 526) = 1052 / 526

GCD(2, 526) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

GCD of 712, 978, 526, 540 is 2

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1. What is the GCD of 712, 978, 526, 540?

GCD of 712, 978, 526, 540 is 2

2. Where do I get the detailed procedure to find GCD of 712, 978, 526, 540?

You can find a detailed procedure to find GCD of 712, 978, 526, 540 on our page.

3. How to find GCD of 712, 978, 526, 540 on a calculator?

You can find the GCD of 712, 978, 526, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.