GCD of 550, 583, 59, 970 Calculator

Given Input numbers are 550, 583, 59, 970

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 583

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

1, 11, 53, 583

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 550, 583, 59, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 583, 59, 970 is 1.

Therefore, GCD of numbers 550, 583, 59, 970 is 1

Given Input Data is 550, 583, 59, 970

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 583 is 11 x 53

Prime Factorization of 59 is 59

Prime Factorization of 970 is 2 x 5 x 97

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(550, 583) = 29150

GCD(550, 583) = ( 550 x 583 ) / 29150

GCD(550, 583) = 320650 / 29150

GCD(550, 583) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 59

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

LCM(11, 59) = 649

GCD(11, 59) = ( 11 x 59 ) / 649

GCD(11, 59) = 649 / 649

GCD(11, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 550, 583, 59, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 147, 59, 392
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• GCD of 701, 659, 20, 411
• GCD of 881, 327, 54, 603

1. What is the GCD of 550, 583, 59, 970?

GCD of 550, 583, 59, 970 is 1

2. Where do I get the detailed procedure to find GCD of 550, 583, 59, 970?

You can find a detailed procedure to find GCD of 550, 583, 59, 970 on our page.

3. How to find GCD of 550, 583, 59, 970 on a calculator?

You can find the GCD of 550, 583, 59, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.