GCD of 864, 906, 698, 694 Calculator

Given Input numbers are 864, 906, 698, 694

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 906

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

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 864, 906, 698, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 906, 698, 694 is 2.

Therefore, GCD of numbers 864, 906, 698, 694 is 2

Given Input Data is 864, 906, 698, 694

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 906 is 2 x 3 x 151

Prime Factorization of 698 is 2 x 349

Prime Factorization of 694 is 2 x 347

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, 906) = 130464

GCD(864, 906) = ( 864 x 906 ) / 130464

GCD(864, 906) = 782784 / 130464

GCD(864, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 698

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

LCM(6, 698) = 2094

GCD(6, 698) = ( 6 x 698 ) / 2094

GCD(6, 698) = 4188 / 2094

GCD(6, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 864, 906, 698, 694 is 2

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1. What is the GCD of 864, 906, 698, 694?

GCD of 864, 906, 698, 694 is 2

2. Where do I get the detailed procedure to find GCD of 864, 906, 698, 694?

You can find a detailed procedure to find GCD of 864, 906, 698, 694 on our page.

3. How to find GCD of 864, 906, 698, 694 on a calculator?

You can find the GCD of 864, 906, 698, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.