GCD of 338, 877, 922, 270 Calculator

Given Input numbers are 338, 877, 922, 270

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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

Greatest Common Divisior

We found the divisors of 338, 877, 922, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 877, 922, 270 is 1.

Therefore, GCD of numbers 338, 877, 922, 270 is 1

Given Input Data is 338, 877, 922, 270

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 877 is 877

Prime Factorization of 922 is 2 x 461

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

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(338, 877) = 296426

GCD(338, 877) = ( 338 x 877 ) / 296426

GCD(338, 877) = 296426 / 296426

GCD(338, 877) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 338, 877, 922, 270 is 1

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1. What is the GCD of 338, 877, 922, 270?

GCD of 338, 877, 922, 270 is 1

2. Where do I get the detailed procedure to find GCD of 338, 877, 922, 270?

You can find a detailed procedure to find GCD of 338, 877, 922, 270 on our page.

3. How to find GCD of 338, 877, 922, 270 on a calculator?

You can find the GCD of 338, 877, 922, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.