GCD of 262, 316, 646 Calculator

Given Input numbers are 262, 316, 646

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

Divisors of 262

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

1, 2, 131, 262

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 262, 316, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 316, 646 is 2.

Therefore, GCD of numbers 262, 316, 646 is 2

Given Input Data is 262, 316, 646

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 646 is 2 x 17 x 19

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(262, 316) = 41396

GCD(262, 316) = ( 262 x 316 ) / 41396

GCD(262, 316) = 82792 / 41396

GCD(262, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 262, 316, 646 is 2

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1. What is the GCD of 262, 316, 646?

GCD of 262, 316, 646 is 2

2. Where do I get the detailed procedure to find GCD of 262, 316, 646?

You can find a detailed procedure to find GCD of 262, 316, 646 on our page.

3. How to find GCD of 262, 316, 646 on a calculator?

You can find the GCD of 262, 316, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.