GCD of 858, 550, 296, 232 Calculator

Given Input numbers are 858, 550, 296, 232

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

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 858, 550, 296, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 550, 296, 232 is 2.

Therefore, GCD of numbers 858, 550, 296, 232 is 2

Given Input Data is 858, 550, 296, 232

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

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(858, 550) = 21450

GCD(858, 550) = ( 858 x 550 ) / 21450

GCD(858, 550) = 471900 / 21450

GCD(858, 550) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 296

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

LCM(22, 296) = 3256

GCD(22, 296) = ( 22 x 296 ) / 3256

GCD(22, 296) = 6512 / 3256

GCD(22, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 858, 550, 296, 232 is 2

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1. What is the GCD of 858, 550, 296, 232?

GCD of 858, 550, 296, 232 is 2

2. Where do I get the detailed procedure to find GCD of 858, 550, 296, 232?

You can find a detailed procedure to find GCD of 858, 550, 296, 232 on our page.

3. How to find GCD of 858, 550, 296, 232 on a calculator?

You can find the GCD of 858, 550, 296, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.