GCD of 527, 989, 51, 583 Calculator

Given Input numbers are 527, 989, 51, 583

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 527, 989, 51, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 989, 51, 583 is 1.

Therefore, GCD of numbers 527, 989, 51, 583 is 1

Given Input Data is 527, 989, 51, 583

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 989 is 23 x 43

Prime Factorization of 51 is 3 x 17

Prime Factorization of 583 is 11 x 53

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(527, 989) = 521203

GCD(527, 989) = ( 527 x 989 ) / 521203

GCD(527, 989) = 521203 / 521203

GCD(527, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 527, 989, 51, 583 is 1

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1. What is the GCD of 527, 989, 51, 583?

GCD of 527, 989, 51, 583 is 1

2. Where do I get the detailed procedure to find GCD of 527, 989, 51, 583?

You can find a detailed procedure to find GCD of 527, 989, 51, 583 on our page.

3. How to find GCD of 527, 989, 51, 583 on a calculator?

You can find the GCD of 527, 989, 51, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.