GCD of 900, 687, 77, 428 Calculator

Given Input numbers are 900, 687, 77, 428

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 900, 687, 77, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 687, 77, 428 is 1.

Therefore, GCD of numbers 900, 687, 77, 428 is 1

Given Input Data is 900, 687, 77, 428

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 687 is 3 x 229

Prime Factorization of 77 is 7 x 11

Prime Factorization of 428 is 2 x 2 x 107

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, 687) = 206100

GCD(900, 687) = ( 900 x 687 ) / 206100

GCD(900, 687) = 618300 / 206100

GCD(900, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 900, 687, 77, 428 is 1

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• GCD of 471, 337, 51, 184
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1. What is the GCD of 900, 687, 77, 428?

GCD of 900, 687, 77, 428 is 1

2. Where do I get the detailed procedure to find GCD of 900, 687, 77, 428?

You can find a detailed procedure to find GCD of 900, 687, 77, 428 on our page.

3. How to find GCD of 900, 687, 77, 428 on a calculator?

You can find the GCD of 900, 687, 77, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.