GCD of 900, 496, 196, 389 Calculator

Given Input numbers are 900, 496, 196, 389

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 900, 496, 196, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 496, 196, 389 is 1.

Therefore, GCD of numbers 900, 496, 196, 389 is 1

Given Input Data is 900, 496, 196, 389

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 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 389 is 389

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, 496) = 111600

GCD(900, 496) = ( 900 x 496 ) / 111600

GCD(900, 496) = 446400 / 111600

GCD(900, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 196

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

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

GCD(4, 196) = 784 / 196

GCD(4, 196) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 389

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

LCM(4, 389) = 1556

GCD(4, 389) = ( 4 x 389 ) / 1556

GCD(4, 389) = 1556 / 1556

GCD(4, 389) = 1

GCD of 900, 496, 196, 389 is 1

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• GCD of 451, 406, 688, 903
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1. What is the GCD of 900, 496, 196, 389?

GCD of 900, 496, 196, 389 is 1

2. Where do I get the detailed procedure to find GCD of 900, 496, 196, 389?

You can find a detailed procedure to find GCD of 900, 496, 196, 389 on our page.

3. How to find GCD of 900, 496, 196, 389 on a calculator?

You can find the GCD of 900, 496, 196, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.