GCD of 526, 612, 66, 798 Calculator

Given Input numbers are 526, 612, 66, 798

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

Divisors of 526

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

1, 2, 263, 526

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 526, 612, 66, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 612, 66, 798 is 2.

Therefore, GCD of numbers 526, 612, 66, 798 is 2

Given Input Data is 526, 612, 66, 798

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(526, 612) = 160956

GCD(526, 612) = ( 526 x 612 ) / 160956

GCD(526, 612) = 321912 / 160956

GCD(526, 612) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 798

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

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

GCD(2, 798) = 1596 / 798

GCD(2, 798) = 2

GCD of 526, 612, 66, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 634, 25, 617
• GCD of 909, 574, 57, 553
• GCD of 218, 642, 13, 886
• GCD of 687, 454, 58, 922
• GCD of 250, 899, 26, 724

1. What is the GCD of 526, 612, 66, 798?

GCD of 526, 612, 66, 798 is 2

2. Where do I get the detailed procedure to find GCD of 526, 612, 66, 798?

You can find a detailed procedure to find GCD of 526, 612, 66, 798 on our page.

3. How to find GCD of 526, 612, 66, 798 on a calculator?

You can find the GCD of 526, 612, 66, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.