GCD of 506, 465, 986, 370 Calculator

Given Input numbers are 506, 465, 986, 370

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 506, 465, 986, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 465, 986, 370 is 1.

Therefore, GCD of numbers 506, 465, 986, 370 is 1

Given Input Data is 506, 465, 986, 370

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 370 is 2 x 5 x 37

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(506, 465) = 235290

GCD(506, 465) = ( 506 x 465 ) / 235290

GCD(506, 465) = 235290 / 235290

GCD(506, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 506, 465, 986, 370 is 1

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1. What is the GCD of 506, 465, 986, 370?

GCD of 506, 465, 986, 370 is 1

2. Where do I get the detailed procedure to find GCD of 506, 465, 986, 370?

You can find a detailed procedure to find GCD of 506, 465, 986, 370 on our page.

3. How to find GCD of 506, 465, 986, 370 on a calculator?

You can find the GCD of 506, 465, 986, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.