GCD of 958, 519, 65, 342 Calculator

Given Input numbers are 958, 519, 65, 342

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 519

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

1, 3, 173, 519

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 958, 519, 65, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 519, 65, 342 is 1.

Therefore, GCD of numbers 958, 519, 65, 342 is 1

Given Input Data is 958, 519, 65, 342

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 519 is 3 x 173

Prime Factorization of 65 is 5 x 13

Prime Factorization of 342 is 2 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(958, 519) = 497202

GCD(958, 519) = ( 958 x 519 ) / 497202

GCD(958, 519) = 497202 / 497202

GCD(958, 519) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 958, 519, 65, 342 is 1

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• GCD of 395, 848, 24, 978
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1. What is the GCD of 958, 519, 65, 342?

GCD of 958, 519, 65, 342 is 1

2. Where do I get the detailed procedure to find GCD of 958, 519, 65, 342?

You can find a detailed procedure to find GCD of 958, 519, 65, 342 on our page.

3. How to find GCD of 958, 519, 65, 342 on a calculator?

You can find the GCD of 958, 519, 65, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.