GCD of 536, 509, 761 Calculator

Given Input numbers are 536, 509, 761

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 509

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

1, 509

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 536, 509, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 509, 761 is 1.

Therefore, GCD of numbers 536, 509, 761 is 1

Given Input Data is 536, 509, 761

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 509 is 509

Prime Factorization of 761 is 761

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(536, 509) = 272824

GCD(536, 509) = ( 536 x 509 ) / 272824

GCD(536, 509) = 272824 / 272824

GCD(536, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 536, 509, 761 is 1

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1. What is the GCD of 536, 509, 761?

GCD of 536, 509, 761 is 1

2. Where do I get the detailed procedure to find GCD of 536, 509, 761?

You can find a detailed procedure to find GCD of 536, 509, 761 on our page.

3. How to find GCD of 536, 509, 761 on a calculator?

You can find the GCD of 536, 509, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.