GCD of 275, 629, 38, 983 Calculator

Given Input numbers are 275, 629, 38, 983

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 275, 629, 38, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 629, 38, 983 is 1.

Therefore, GCD of numbers 275, 629, 38, 983 is 1

Given Input Data is 275, 629, 38, 983

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 629 is 17 x 37

Prime Factorization of 38 is 2 x 19

Prime Factorization of 983 is 983

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(275, 629) = 172975

GCD(275, 629) = ( 275 x 629 ) / 172975

GCD(275, 629) = 172975 / 172975

GCD(275, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 275, 629, 38, 983 is 1

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1. What is the GCD of 275, 629, 38, 983?

GCD of 275, 629, 38, 983 is 1

2. Where do I get the detailed procedure to find GCD of 275, 629, 38, 983?

You can find a detailed procedure to find GCD of 275, 629, 38, 983 on our page.

3. How to find GCD of 275, 629, 38, 983 on a calculator?

You can find the GCD of 275, 629, 38, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.