GCD of 298, 314, 460, 262 Calculator

Given Input numbers are 298, 314, 460, 262

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 298, 314, 460, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 314, 460, 262 is 2.

Therefore, GCD of numbers 298, 314, 460, 262 is 2

Given Input Data is 298, 314, 460, 262

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 314 is 2 x 157

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 262 is 2 x 131

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(298, 314) = 46786

GCD(298, 314) = ( 298 x 314 ) / 46786

GCD(298, 314) = 93572 / 46786

GCD(298, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

GCD of 298, 314, 460, 262 is 2

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• GCD of 329, 577, 141, 540
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• GCD of 945, 934, 961, 686

1. What is the GCD of 298, 314, 460, 262?

GCD of 298, 314, 460, 262 is 2

2. Where do I get the detailed procedure to find GCD of 298, 314, 460, 262?

You can find a detailed procedure to find GCD of 298, 314, 460, 262 on our page.

3. How to find GCD of 298, 314, 460, 262 on a calculator?

You can find the GCD of 298, 314, 460, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.