GCD of 710, 852, 507, 519 Calculator

Given Input numbers are 710, 852, 507, 519

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 710, 852, 507, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 852, 507, 519 is 1.

Therefore, GCD of numbers 710, 852, 507, 519 is 1

Given Input Data is 710, 852, 507, 519

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 519 is 3 x 173

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(710, 852) = 4260

GCD(710, 852) = ( 710 x 852 ) / 4260

GCD(710, 852) = 604920 / 4260

GCD(710, 852) = 142

Step2:

Here we consider the GCD from the above i.e. 142 as first number and the next as 507

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

LCM(142, 507) = 71994

GCD(142, 507) = ( 142 x 507 ) / 71994

GCD(142, 507) = 71994 / 71994

GCD(142, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 710, 852, 507, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 117, 290, 898
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• GCD of 144, 362, 978, 224
• GCD of 568, 968, 340, 532

1. What is the GCD of 710, 852, 507, 519?

GCD of 710, 852, 507, 519 is 1

2. Where do I get the detailed procedure to find GCD of 710, 852, 507, 519?

You can find a detailed procedure to find GCD of 710, 852, 507, 519 on our page.

3. How to find GCD of 710, 852, 507, 519 on a calculator?

You can find the GCD of 710, 852, 507, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.