GCD of 678, 626, 340, 864 Calculator

Given Input numbers are 678, 626, 340, 864

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

Greatest Common Divisior

We found the divisors of 678, 626, 340, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 626, 340, 864 is 2.

Therefore, GCD of numbers 678, 626, 340, 864 is 2

Given Input Data is 678, 626, 340, 864

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 626 is 2 x 313

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

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(678, 626) = 212214

GCD(678, 626) = ( 678 x 626 ) / 212214

GCD(678, 626) = 424428 / 212214

GCD(678, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 678, 626, 340, 864 is 2

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• GCD of 655, 610, 471, 133
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1. What is the GCD of 678, 626, 340, 864?

GCD of 678, 626, 340, 864 is 2

2. Where do I get the detailed procedure to find GCD of 678, 626, 340, 864?

You can find a detailed procedure to find GCD of 678, 626, 340, 864 on our page.

3. How to find GCD of 678, 626, 340, 864 on a calculator?

You can find the GCD of 678, 626, 340, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.