GCD of 270, 858, 558, 632 Calculator

Given Input numbers are 270, 858, 558, 632

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 270, 858, 558, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 858, 558, 632 is 2.

Therefore, GCD of numbers 270, 858, 558, 632 is 2

Given Input Data is 270, 858, 558, 632

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Prime Factorization of 632 is 2 x 2 x 2 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(270, 858) = 38610

GCD(270, 858) = ( 270 x 858 ) / 38610

GCD(270, 858) = 231660 / 38610

GCD(270, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 558

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

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

GCD(6, 558) = 3348 / 558

GCD(6, 558) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 632

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

LCM(6, 632) = 1896

GCD(6, 632) = ( 6 x 632 ) / 1896

GCD(6, 632) = 3792 / 1896

GCD(6, 632) = 2

GCD of 270, 858, 558, 632 is 2

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1. What is the GCD of 270, 858, 558, 632?

GCD of 270, 858, 558, 632 is 2

2. Where do I get the detailed procedure to find GCD of 270, 858, 558, 632?

You can find a detailed procedure to find GCD of 270, 858, 558, 632 on our page.

3. How to find GCD of 270, 858, 558, 632 on a calculator?

You can find the GCD of 270, 858, 558, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.