GCD of 87, 389, 900, 632 Calculator

Given Input numbers are 87, 389, 900, 632

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 389

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

1, 389

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 87, 389, 900, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 389, 900, 632 is 1.

Therefore, GCD of numbers 87, 389, 900, 632 is 1

Given Input Data is 87, 389, 900, 632

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 389 is 389

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

Prime Factorization of 632 is 2 x 2 x 2 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(87, 389) = 33843

GCD(87, 389) = ( 87 x 389 ) / 33843

GCD(87, 389) = 33843 / 33843

GCD(87, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 87, 389, 900, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 643, 225, 904
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• GCD of 72, 929, 756, 201

1. What is the GCD of 87, 389, 900, 632?

GCD of 87, 389, 900, 632 is 1

2. Where do I get the detailed procedure to find GCD of 87, 389, 900, 632?

You can find a detailed procedure to find GCD of 87, 389, 900, 632 on our page.

3. How to find GCD of 87, 389, 900, 632 on a calculator?

You can find the GCD of 87, 389, 900, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.