GCD of 438, 278, 850, 678 Calculator

Given Input numbers are 438, 278, 850, 678

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 278

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

1, 2, 139, 278

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 438, 278, 850, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 278, 850, 678 is 2.

Therefore, GCD of numbers 438, 278, 850, 678 is 2

Given Input Data is 438, 278, 850, 678

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 278 is 2 x 139

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 678 is 2 x 3 x 113

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(438, 278) = 60882

GCD(438, 278) = ( 438 x 278 ) / 60882

GCD(438, 278) = 121764 / 60882

GCD(438, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 438, 278, 850, 678 is 2

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1. What is the GCD of 438, 278, 850, 678?

GCD of 438, 278, 850, 678 is 2

2. Where do I get the detailed procedure to find GCD of 438, 278, 850, 678?

You can find a detailed procedure to find GCD of 438, 278, 850, 678 on our page.

3. How to find GCD of 438, 278, 850, 678 on a calculator?

You can find the GCD of 438, 278, 850, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.