GCD of 864, 958, 906, 202 Calculator

Given Input numbers are 864, 958, 906, 202

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 864, 958, 906, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 958, 906, 202 is 2.

Therefore, GCD of numbers 864, 958, 906, 202 is 2

Given Input Data is 864, 958, 906, 202

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 958 is 2 x 479

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 202 is 2 x 101

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(864, 958) = 413856

GCD(864, 958) = ( 864 x 958 ) / 413856

GCD(864, 958) = 827712 / 413856

GCD(864, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 864, 958, 906, 202 is 2

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1. What is the GCD of 864, 958, 906, 202?

GCD of 864, 958, 906, 202 is 2

2. Where do I get the detailed procedure to find GCD of 864, 958, 906, 202?

You can find a detailed procedure to find GCD of 864, 958, 906, 202 on our page.

3. How to find GCD of 864, 958, 906, 202 on a calculator?

You can find the GCD of 864, 958, 906, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.