GCD of 327, 734, 700, 513 Calculator

Given Input numbers are 327, 734, 700, 513

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 327, 734, 700, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 734, 700, 513 is 1.

Therefore, GCD of numbers 327, 734, 700, 513 is 1

Given Input Data is 327, 734, 700, 513

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 734 is 2 x 367

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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

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(327, 734) = 240018

GCD(327, 734) = ( 327 x 734 ) / 240018

GCD(327, 734) = 240018 / 240018

GCD(327, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 327, 734, 700, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 360, 105, 273
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• GCD of 191, 813, 509, 762

1. What is the GCD of 327, 734, 700, 513?

GCD of 327, 734, 700, 513 is 1

2. Where do I get the detailed procedure to find GCD of 327, 734, 700, 513?

You can find a detailed procedure to find GCD of 327, 734, 700, 513 on our page.

3. How to find GCD of 327, 734, 700, 513 on a calculator?

You can find the GCD of 327, 734, 700, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.