GCD of 254, 509, 486, 975 Calculator

Given Input numbers are 254, 509, 486, 975

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

Divisors of 254

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

1, 2, 127, 254

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 254, 509, 486, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 509, 486, 975 is 1.

Therefore, GCD of numbers 254, 509, 486, 975 is 1

Given Input Data is 254, 509, 486, 975

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 509 is 509

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(254, 509) = 129286

GCD(254, 509) = ( 254 x 509 ) / 129286

GCD(254, 509) = 129286 / 129286

GCD(254, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 254, 509, 486, 975 is 1

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1. What is the GCD of 254, 509, 486, 975?

GCD of 254, 509, 486, 975 is 1

2. Where do I get the detailed procedure to find GCD of 254, 509, 486, 975?

You can find a detailed procedure to find GCD of 254, 509, 486, 975 on our page.

3. How to find GCD of 254, 509, 486, 975 on a calculator?

You can find the GCD of 254, 509, 486, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.