GCD of 846, 608, 558, 436 Calculator

Given Input numbers are 846, 608, 558, 436

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 436

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

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 846, 608, 558, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 608, 558, 436 is 2.

Therefore, GCD of numbers 846, 608, 558, 436 is 2

Given Input Data is 846, 608, 558, 436

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 436 is 2 x 2 x 109

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(846, 608) = 257184

GCD(846, 608) = ( 846 x 608 ) / 257184

GCD(846, 608) = 514368 / 257184

GCD(846, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

GCD of 846, 608, 558, 436 is 2

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1. What is the GCD of 846, 608, 558, 436?

GCD of 846, 608, 558, 436 is 2

2. Where do I get the detailed procedure to find GCD of 846, 608, 558, 436?

You can find a detailed procedure to find GCD of 846, 608, 558, 436 on our page.

3. How to find GCD of 846, 608, 558, 436 on a calculator?

You can find the GCD of 846, 608, 558, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.