GCD of 614, 784, 134, 458 Calculator

Given Input numbers are 614, 784, 134, 458

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 614, 784, 134, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 784, 134, 458 is 2.

Therefore, GCD of numbers 614, 784, 134, 458 is 2

Given Input Data is 614, 784, 134, 458

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 134 is 2 x 67

Prime Factorization of 458 is 2 x 229

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, 784) = 240688

GCD(614, 784) = ( 614 x 784 ) / 240688

GCD(614, 784) = 481376 / 240688

GCD(614, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 614, 784, 134, 458 is 2

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1. What is the GCD of 614, 784, 134, 458?

GCD of 614, 784, 134, 458 is 2

2. Where do I get the detailed procedure to find GCD of 614, 784, 134, 458?

You can find a detailed procedure to find GCD of 614, 784, 134, 458 on our page.

3. How to find GCD of 614, 784, 134, 458 on a calculator?

You can find the GCD of 614, 784, 134, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.