GCD of 509, 397, 53, 977 Calculator

Given Input numbers are 509, 397, 53, 977

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

Divisors of 509

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

1, 509

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 509, 397, 53, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 397, 53, 977 is 1.

Therefore, GCD of numbers 509, 397, 53, 977 is 1

Given Input Data is 509, 397, 53, 977

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

Prime Factorization of 509 is 509

Prime Factorization of 397 is 397

Prime Factorization of 53 is 53

Prime Factorization of 977 is 977

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(509, 397) = 202073

GCD(509, 397) = ( 509 x 397 ) / 202073

GCD(509, 397) = 202073 / 202073

GCD(509, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 509, 397, 53, 977 is 1

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• GCD of 731, 960, 72, 172
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• GCD of 710, 807, 85, 624

1. What is the GCD of 509, 397, 53, 977?

GCD of 509, 397, 53, 977 is 1

2. Where do I get the detailed procedure to find GCD of 509, 397, 53, 977?

You can find a detailed procedure to find GCD of 509, 397, 53, 977 on our page.

3. How to find GCD of 509, 397, 53, 977 on a calculator?

You can find the GCD of 509, 397, 53, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.