GCD of 614, 914, 12, 126 Calculator

Given Input numbers are 614, 914, 12, 126

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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

Greatest Common Divisior

We found the divisors of 614, 914, 12, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 914, 12, 126 is 2.

Therefore, GCD of numbers 614, 914, 12, 126 is 2

Given Input Data is 614, 914, 12, 126

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 914 is 2 x 457

Prime Factorization of 12 is 2 x 2 x 3

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

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(614, 914) = 280598

GCD(614, 914) = ( 614 x 914 ) / 280598

GCD(614, 914) = 561196 / 280598

GCD(614, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

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

GCD of 614, 914, 12, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 256, 65, 431
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1. What is the GCD of 614, 914, 12, 126?

GCD of 614, 914, 12, 126 is 2

2. Where do I get the detailed procedure to find GCD of 614, 914, 12, 126?

You can find a detailed procedure to find GCD of 614, 914, 12, 126 on our page.

3. How to find GCD of 614, 914, 12, 126 on a calculator?

You can find the GCD of 614, 914, 12, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.