GCD of 200, 278, 858 Calculator

Given Input numbers are 200, 278, 858

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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

Greatest Common Divisior

We found the divisors of 200, 278, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 278, 858 is 2.

Therefore, GCD of numbers 200, 278, 858 is 2

Given Input Data is 200, 278, 858

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 278 is 2 x 139

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

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(200, 278) = 27800

GCD(200, 278) = ( 200 x 278 ) / 27800

GCD(200, 278) = 55600 / 27800

GCD(200, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 858

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

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

GCD(2, 858) = 1716 / 858

GCD(2, 858) = 2

GCD of 200, 278, 858 is 2

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• GCD of 828, 703, 148
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1. What is the GCD of 200, 278, 858?

GCD of 200, 278, 858 is 2

2. Where do I get the detailed procedure to find GCD of 200, 278, 858?

You can find a detailed procedure to find GCD of 200, 278, 858 on our page.

3. How to find GCD of 200, 278, 858 on a calculator?

You can find the GCD of 200, 278, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.