GCD of 678, 206, 40, 748 Calculator

Given Input numbers are 678, 206, 40, 748

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 678, 206, 40, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 206, 40, 748 is 2.

Therefore, GCD of numbers 678, 206, 40, 748 is 2

Given Input Data is 678, 206, 40, 748

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 206 is 2 x 103

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 748 is 2 x 2 x 11 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(678, 206) = 69834

GCD(678, 206) = ( 678 x 206 ) / 69834

GCD(678, 206) = 139668 / 69834

GCD(678, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 678, 206, 40, 748 is 2

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1. What is the GCD of 678, 206, 40, 748?

GCD of 678, 206, 40, 748 is 2

2. Where do I get the detailed procedure to find GCD of 678, 206, 40, 748?

You can find a detailed procedure to find GCD of 678, 206, 40, 748 on our page.

3. How to find GCD of 678, 206, 40, 748 on a calculator?

You can find the GCD of 678, 206, 40, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.