GCD of 900, 553, 285, 691 Calculator

Given Input numbers are 900, 553, 285, 691

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 553

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

1, 7, 79, 553

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 900, 553, 285, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 553, 285, 691 is 1.

Therefore, GCD of numbers 900, 553, 285, 691 is 1

Given Input Data is 900, 553, 285, 691

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 553 is 7 x 79

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 691 is 691

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(900, 553) = 497700

GCD(900, 553) = ( 900 x 553 ) / 497700

GCD(900, 553) = 497700 / 497700

GCD(900, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 900, 553, 285, 691 is 1

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1. What is the GCD of 900, 553, 285, 691?

GCD of 900, 553, 285, 691 is 1

2. Where do I get the detailed procedure to find GCD of 900, 553, 285, 691?

You can find a detailed procedure to find GCD of 900, 553, 285, 691 on our page.

3. How to find GCD of 900, 553, 285, 691 on a calculator?

You can find the GCD of 900, 553, 285, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.