GCD of 514, 358, 59, 254 Calculator

Given Input numbers are 514, 358, 59, 254

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

Divisors of 514

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

1, 2, 257, 514

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 514, 358, 59, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 358, 59, 254 is 1.

Therefore, GCD of numbers 514, 358, 59, 254 is 1

Given Input Data is 514, 358, 59, 254

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 358 is 2 x 179

Prime Factorization of 59 is 59

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(514, 358) = 92006

GCD(514, 358) = ( 514 x 358 ) / 92006

GCD(514, 358) = 184012 / 92006

GCD(514, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 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 514, 358, 59, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 555, 96, 704
• GCD of 634, 361, 77, 984
• GCD of 496, 345, 49, 184
• GCD of 583, 366, 57, 526
• GCD of 787, 290, 28, 946

1. What is the GCD of 514, 358, 59, 254?

GCD of 514, 358, 59, 254 is 1

2. Where do I get the detailed procedure to find GCD of 514, 358, 59, 254?

You can find a detailed procedure to find GCD of 514, 358, 59, 254 on our page.

3. How to find GCD of 514, 358, 59, 254 on a calculator?

You can find the GCD of 514, 358, 59, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.