GCD of 612, 558, 766, 634 Calculator

Given Input numbers are 612, 558, 766, 634

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

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 612, 558, 766, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 558, 766, 634 is 2.

Therefore, GCD of numbers 612, 558, 766, 634 is 2

Given Input Data is 612, 558, 766, 634

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

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 766 is 2 x 383

Prime Factorization of 634 is 2 x 317

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(612, 558) = 18972

GCD(612, 558) = ( 612 x 558 ) / 18972

GCD(612, 558) = 341496 / 18972

GCD(612, 558) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 766

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

LCM(18, 766) = 6894

GCD(18, 766) = ( 18 x 766 ) / 6894

GCD(18, 766) = 13788 / 6894

GCD(18, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 612, 558, 766, 634 is 2

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1. What is the GCD of 612, 558, 766, 634?

GCD of 612, 558, 766, 634 is 2

2. Where do I get the detailed procedure to find GCD of 612, 558, 766, 634?

You can find a detailed procedure to find GCD of 612, 558, 766, 634 on our page.

3. How to find GCD of 612, 558, 766, 634 on a calculator?

You can find the GCD of 612, 558, 766, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.