GCD of 436, 756, 68, 258 Calculator

Given Input numbers are 436, 756, 68, 258

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 436, 756, 68, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 756, 68, 258 is 2.

Therefore, GCD of numbers 436, 756, 68, 258 is 2

Given Input Data is 436, 756, 68, 258

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 258 is 2 x 3 x 43

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(436, 756) = 82404

GCD(436, 756) = ( 436 x 756 ) / 82404

GCD(436, 756) = 329616 / 82404

GCD(436, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 258

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

LCM(4, 258) = 516

GCD(4, 258) = ( 4 x 258 ) / 516

GCD(4, 258) = 1032 / 516

GCD(4, 258) = 2

GCD of 436, 756, 68, 258 is 2

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1. What is the GCD of 436, 756, 68, 258?

GCD of 436, 756, 68, 258 is 2

2. Where do I get the detailed procedure to find GCD of 436, 756, 68, 258?

You can find a detailed procedure to find GCD of 436, 756, 68, 258 on our page.

3. How to find GCD of 436, 756, 68, 258 on a calculator?

You can find the GCD of 436, 756, 68, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.