GCD of 470, 334, 117, 254 Calculator

Given Input numbers are 470, 334, 117, 254

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 470, 334, 117, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 334, 117, 254 is 1.

Therefore, GCD of numbers 470, 334, 117, 254 is 1

Given Input Data is 470, 334, 117, 254

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 334 is 2 x 167

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 254 is 2 x 127

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(470, 334) = 78490

GCD(470, 334) = ( 470 x 334 ) / 78490

GCD(470, 334) = 156980 / 78490

GCD(470, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 470, 334, 117, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 412, 951, 584
• GCD of 479, 416, 558, 925
• GCD of 500, 785, 913, 891
• GCD of 578, 720, 106, 748
• GCD of 693, 190, 761, 335

1. What is the GCD of 470, 334, 117, 254?

GCD of 470, 334, 117, 254 is 1

2. Where do I get the detailed procedure to find GCD of 470, 334, 117, 254?

You can find a detailed procedure to find GCD of 470, 334, 117, 254 on our page.

3. How to find GCD of 470, 334, 117, 254 on a calculator?

You can find the GCD of 470, 334, 117, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.