GCD of 316, 866, 262, 290 Calculator

Given Input numbers are 316, 866, 262, 290

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

Divisors of 316

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

1, 2, 4, 79, 158, 316

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 262

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

1, 2, 131, 262

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 316, 866, 262, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 866, 262, 290 is 2.

Therefore, GCD of numbers 316, 866, 262, 290 is 2

Given Input Data is 316, 866, 262, 290

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 866 is 2 x 433

Prime Factorization of 262 is 2 x 131

Prime Factorization of 290 is 2 x 5 x 29

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(316, 866) = 136828

GCD(316, 866) = ( 316 x 866 ) / 136828

GCD(316, 866) = 273656 / 136828

GCD(316, 866) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 316, 866, 262, 290 is 2

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1. What is the GCD of 316, 866, 262, 290?

GCD of 316, 866, 262, 290 is 2

2. Where do I get the detailed procedure to find GCD of 316, 866, 262, 290?

You can find a detailed procedure to find GCD of 316, 866, 262, 290 on our page.

3. How to find GCD of 316, 866, 262, 290 on a calculator?

You can find the GCD of 316, 866, 262, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.