GCD of 528, 386, 526, 790 Calculator

Given Input numbers are 528, 386, 526, 790

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 526

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

1, 2, 263, 526

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 528, 386, 526, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 386, 526, 790 is 2.

Therefore, GCD of numbers 528, 386, 526, 790 is 2

Given Input Data is 528, 386, 526, 790

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 386 is 2 x 193

Prime Factorization of 526 is 2 x 263

Prime Factorization of 790 is 2 x 5 x 79

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(528, 386) = 101904

GCD(528, 386) = ( 528 x 386 ) / 101904

GCD(528, 386) = 203808 / 101904

GCD(528, 386) = 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 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 528, 386, 526, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 151, 268, 177
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• GCD of 590, 522, 334, 286

1. What is the GCD of 528, 386, 526, 790?

GCD of 528, 386, 526, 790 is 2

2. Where do I get the detailed procedure to find GCD of 528, 386, 526, 790?

You can find a detailed procedure to find GCD of 528, 386, 526, 790 on our page.

3. How to find GCD of 528, 386, 526, 790 on a calculator?

You can find the GCD of 528, 386, 526, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.