GCD of 340, 678, 126, 422 Calculator

Given Input numbers are 340, 678, 126, 422

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

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 678

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

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 340, 678, 126, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 678, 126, 422 is 2.

Therefore, GCD of numbers 340, 678, 126, 422 is 2

Given Input Data is 340, 678, 126, 422

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

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 422 is 2 x 211

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(340, 678) = 115260

GCD(340, 678) = ( 340 x 678 ) / 115260

GCD(340, 678) = 230520 / 115260

GCD(340, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

GCD of 340, 678, 126, 422 is 2

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1. What is the GCD of 340, 678, 126, 422?

GCD of 340, 678, 126, 422 is 2

2. Where do I get the detailed procedure to find GCD of 340, 678, 126, 422?

You can find a detailed procedure to find GCD of 340, 678, 126, 422 on our page.

3. How to find GCD of 340, 678, 126, 422 on a calculator?

You can find the GCD of 340, 678, 126, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.