GCD of 383, 359, 978, 510 Calculator

Given Input numbers are 383, 359, 978, 510

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

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 383, 359, 978, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 359, 978, 510 is 1.

Therefore, GCD of numbers 383, 359, 978, 510 is 1

Given Input Data is 383, 359, 978, 510

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

Prime Factorization of 383 is 383

Prime Factorization of 359 is 359

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(383, 359) = 137497

GCD(383, 359) = ( 383 x 359 ) / 137497

GCD(383, 359) = 137497 / 137497

GCD(383, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 383, 359, 978, 510 is 1

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1. What is the GCD of 383, 359, 978, 510?

GCD of 383, 359, 978, 510 is 1

2. Where do I get the detailed procedure to find GCD of 383, 359, 978, 510?

You can find a detailed procedure to find GCD of 383, 359, 978, 510 on our page.

3. How to find GCD of 383, 359, 978, 510 on a calculator?

You can find the GCD of 383, 359, 978, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.