GCD of 909, 574, 57, 553 Calculator

Given Input numbers are 909, 574, 57, 553

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 909, 574, 57, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 574, 57, 553 is 1.

Therefore, GCD of numbers 909, 574, 57, 553 is 1

Given Input Data is 909, 574, 57, 553

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 57 is 3 x 19

Prime Factorization of 553 is 7 x 79

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(909, 574) = 521766

GCD(909, 574) = ( 909 x 574 ) / 521766

GCD(909, 574) = 521766 / 521766

GCD(909, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 909, 574, 57, 553 is 1

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1. What is the GCD of 909, 574, 57, 553?

GCD of 909, 574, 57, 553 is 1

2. Where do I get the detailed procedure to find GCD of 909, 574, 57, 553?

You can find a detailed procedure to find GCD of 909, 574, 57, 553 on our page.

3. How to find GCD of 909, 574, 57, 553 on a calculator?

You can find the GCD of 909, 574, 57, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.