GCD of 940, 214, 26, 612 Calculator

Given Input numbers are 940, 214, 26, 612

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 940, 214, 26, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 214, 26, 612 is 2.

Therefore, GCD of numbers 940, 214, 26, 612 is 2

Given Input Data is 940, 214, 26, 612

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 214 is 2 x 107

Prime Factorization of 26 is 2 x 13

Prime Factorization of 612 is 2 x 2 x 3 x 3 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(940, 214) = 100580

GCD(940, 214) = ( 940 x 214 ) / 100580

GCD(940, 214) = 201160 / 100580

GCD(940, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

GCD of 940, 214, 26, 612 is 2

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1. What is the GCD of 940, 214, 26, 612?

GCD of 940, 214, 26, 612 is 2

2. Where do I get the detailed procedure to find GCD of 940, 214, 26, 612?

You can find a detailed procedure to find GCD of 940, 214, 26, 612 on our page.

3. How to find GCD of 940, 214, 26, 612 on a calculator?

You can find the GCD of 940, 214, 26, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.