GCD of 975, 554, 512, 509 Calculator

Given Input numbers are 975, 554, 512, 509

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

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 975, 554, 512, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 554, 512, 509 is 1.

Therefore, GCD of numbers 975, 554, 512, 509 is 1

Given Input Data is 975, 554, 512, 509

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

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 509 is 509

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(975, 554) = 540150

GCD(975, 554) = ( 975 x 554 ) / 540150

GCD(975, 554) = 540150 / 540150

GCD(975, 554) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 975, 554, 512, 509 is 1

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1. What is the GCD of 975, 554, 512, 509?

GCD of 975, 554, 512, 509 is 1

2. Where do I get the detailed procedure to find GCD of 975, 554, 512, 509?

You can find a detailed procedure to find GCD of 975, 554, 512, 509 on our page.

3. How to find GCD of 975, 554, 512, 509 on a calculator?

You can find the GCD of 975, 554, 512, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.