GCD of 10, 908, 279, 262 Calculator

Given Input numbers are 10, 908, 279, 262

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 10, 908, 279, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 908, 279, 262 is 1.

Therefore, GCD of numbers 10, 908, 279, 262 is 1

Given Input Data is 10, 908, 279, 262

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 262 is 2 x 131

The above numbers do not have any common prime factor. So GCD is 1

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(10, 908) = 4540

GCD(10, 908) = ( 10 x 908 ) / 4540

GCD(10, 908) = 9080 / 4540

GCD(10, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 279

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

LCM(2, 279) = 558

GCD(2, 279) = ( 2 x 279 ) / 558

GCD(2, 279) = 558 / 558

GCD(2, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

GCD of 10, 908, 279, 262 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 546, 169, 266
• GCD of 21, 303, 686, 529
• GCD of 99, 186, 273, 505
• GCD of 17, 958, 891, 940
• GCD of 99, 897, 304, 800

1. What is the GCD of 10, 908, 279, 262?

GCD of 10, 908, 279, 262 is 1

2. Where do I get the detailed procedure to find GCD of 10, 908, 279, 262?

You can find a detailed procedure to find GCD of 10, 908, 279, 262 on our page.

3. How to find GCD of 10, 908, 279, 262 on a calculator?

You can find the GCD of 10, 908, 279, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.