GCD of 862, 106, 906, 952 Calculator

Given Input numbers are 862, 106, 906, 952

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 862, 106, 906, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 106, 906, 952 is 2.

Therefore, GCD of numbers 862, 106, 906, 952 is 2

Given Input Data is 862, 106, 906, 952

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 106 is 2 x 53

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(862, 106) = 45686

GCD(862, 106) = ( 862 x 106 ) / 45686

GCD(862, 106) = 91372 / 45686

GCD(862, 106) = 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 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

GCD of 862, 106, 906, 952 is 2

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1. What is the GCD of 862, 106, 906, 952?

GCD of 862, 106, 906, 952 is 2

2. Where do I get the detailed procedure to find GCD of 862, 106, 906, 952?

You can find a detailed procedure to find GCD of 862, 106, 906, 952 on our page.

3. How to find GCD of 862, 106, 906, 952 on a calculator?

You can find the GCD of 862, 106, 906, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.