GCD of 762, 973, 509 Calculator

Given Input numbers are 762, 973, 509

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

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 762, 973, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 973, 509 is 1.

Therefore, GCD of numbers 762, 973, 509 is 1

Given Input Data is 762, 973, 509

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 973 is 7 x 139

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(762, 973) = 741426

GCD(762, 973) = ( 762 x 973 ) / 741426

GCD(762, 973) = 741426 / 741426

GCD(762, 973) = 1

Step2:

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 762, 973, 509 is 1

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1. What is the GCD of 762, 973, 509?

GCD of 762, 973, 509 is 1

2. Where do I get the detailed procedure to find GCD of 762, 973, 509?

You can find a detailed procedure to find GCD of 762, 973, 509 on our page.

3. How to find GCD of 762, 973, 509 on a calculator?

You can find the GCD of 762, 973, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.