GCD of 794, 270, 262 Calculator

Given Input numbers are 794, 270, 262

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 794, 270, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 270, 262 is 2.

Therefore, GCD of numbers 794, 270, 262 is 2

Given Input Data is 794, 270, 262

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(794, 270) = 107190

GCD(794, 270) = ( 794 x 270 ) / 107190

GCD(794, 270) = 214380 / 107190

GCD(794, 270) = 2

Step2:

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 794, 270, 262 is 2

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1. What is the GCD of 794, 270, 262?

GCD of 794, 270, 262 is 2

2. Where do I get the detailed procedure to find GCD of 794, 270, 262?

You can find a detailed procedure to find GCD of 794, 270, 262 on our page.

3. How to find GCD of 794, 270, 262 on a calculator?

You can find the GCD of 794, 270, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.