GCD of 513, 340, 735, 503 Calculator

Given Input numbers are 513, 340, 735, 503

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 513, 340, 735, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 340, 735, 503 is 1.

Therefore, GCD of numbers 513, 340, 735, 503 is 1

Given Input Data is 513, 340, 735, 503

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 503 is 503

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(513, 340) = 174420

GCD(513, 340) = ( 513 x 340 ) / 174420

GCD(513, 340) = 174420 / 174420

GCD(513, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 513, 340, 735, 503 is 1

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1. What is the GCD of 513, 340, 735, 503?

GCD of 513, 340, 735, 503 is 1

2. Where do I get the detailed procedure to find GCD of 513, 340, 735, 503?

You can find a detailed procedure to find GCD of 513, 340, 735, 503 on our page.

3. How to find GCD of 513, 340, 735, 503 on a calculator?

You can find the GCD of 513, 340, 735, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.