GCD of 474, 514, 14, 958 Calculator

Given Input numbers are 474, 514, 14, 958

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 474, 514, 14, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 514, 14, 958 is 2.

Therefore, GCD of numbers 474, 514, 14, 958 is 2

Given Input Data is 474, 514, 14, 958

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 514 is 2 x 257

Prime Factorization of 14 is 2 x 7

Prime Factorization of 958 is 2 x 479

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(474, 514) = 121818

GCD(474, 514) = ( 474 x 514 ) / 121818

GCD(474, 514) = 243636 / 121818

GCD(474, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 474, 514, 14, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 445, 59, 606
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• GCD of 191, 838, 14, 639
• GCD of 540, 365, 40, 244
• GCD of 273, 179, 58, 212

1. What is the GCD of 474, 514, 14, 958?

GCD of 474, 514, 14, 958 is 2

2. Where do I get the detailed procedure to find GCD of 474, 514, 14, 958?

You can find a detailed procedure to find GCD of 474, 514, 14, 958 on our page.

3. How to find GCD of 474, 514, 14, 958 on a calculator?

You can find the GCD of 474, 514, 14, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.