GCD of 262, 386, 118, 514 Calculator

Given Input numbers are 262, 386, 118, 514

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 514

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

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 262, 386, 118, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 386, 118, 514 is 2.

Therefore, GCD of numbers 262, 386, 118, 514 is 2

Given Input Data is 262, 386, 118, 514

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 386 is 2 x 193

Prime Factorization of 118 is 2 x 59

Prime Factorization of 514 is 2 x 257

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, 386) = 50566

GCD(262, 386) = ( 262 x 386 ) / 50566

GCD(262, 386) = 101132 / 50566

GCD(262, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 262, 386, 118, 514 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 947, 216, 491
• GCD of 315, 408, 433, 161
• GCD of 532, 646, 129, 376
• GCD of 541, 690, 391, 885
• GCD of 638, 373, 441, 527

1. What is the GCD of 262, 386, 118, 514?

GCD of 262, 386, 118, 514 is 2

2. Where do I get the detailed procedure to find GCD of 262, 386, 118, 514?

You can find a detailed procedure to find GCD of 262, 386, 118, 514 on our page.

3. How to find GCD of 262, 386, 118, 514 on a calculator?

You can find the GCD of 262, 386, 118, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.