GCD of 319, 507, 58, 707 Calculator

Given Input numbers are 319, 507, 58, 707

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 319, 507, 58, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 507, 58, 707 is 1.

Therefore, GCD of numbers 319, 507, 58, 707 is 1

Given Input Data is 319, 507, 58, 707

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 58 is 2 x 29

Prime Factorization of 707 is 7 x 101

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(319, 507) = 161733

GCD(319, 507) = ( 319 x 507 ) / 161733

GCD(319, 507) = 161733 / 161733

GCD(319, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 319, 507, 58, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 736, 92, 874
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• GCD of 829, 256, 89, 179

1. What is the GCD of 319, 507, 58, 707?

GCD of 319, 507, 58, 707 is 1

2. Where do I get the detailed procedure to find GCD of 319, 507, 58, 707?

You can find a detailed procedure to find GCD of 319, 507, 58, 707 on our page.

3. How to find GCD of 319, 507, 58, 707 on a calculator?

You can find the GCD of 319, 507, 58, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.