GCD of 889, 400, 53, 484 Calculator

Given Input numbers are 889, 400, 53, 484

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 889, 400, 53, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 400, 53, 484 is 1.

Therefore, GCD of numbers 889, 400, 53, 484 is 1

Given Input Data is 889, 400, 53, 484

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 53 is 53

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(889, 400) = 355600

GCD(889, 400) = ( 889 x 400 ) / 355600

GCD(889, 400) = 355600 / 355600

GCD(889, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 889, 400, 53, 484 is 1

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• GCD of 509, 758, 79, 924
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1. What is the GCD of 889, 400, 53, 484?

GCD of 889, 400, 53, 484 is 1

2. Where do I get the detailed procedure to find GCD of 889, 400, 53, 484?

You can find a detailed procedure to find GCD of 889, 400, 53, 484 on our page.

3. How to find GCD of 889, 400, 53, 484 on a calculator?

You can find the GCD of 889, 400, 53, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.