GCD of 448, 187, 420, 200 Calculator

Given Input numbers are 448, 187, 420, 200

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Greatest Common Divisior

We found the divisors of 448, 187, 420, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 187, 420, 200 is 1.

Therefore, GCD of numbers 448, 187, 420, 200 is 1

Given Input Data is 448, 187, 420, 200

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 187 is 11 x 17

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(448, 187) = 83776

GCD(448, 187) = ( 448 x 187 ) / 83776

GCD(448, 187) = 83776 / 83776

GCD(448, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 448, 187, 420, 200 is 1

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1. What is the GCD of 448, 187, 420, 200?

GCD of 448, 187, 420, 200 is 1

2. Where do I get the detailed procedure to find GCD of 448, 187, 420, 200?

You can find a detailed procedure to find GCD of 448, 187, 420, 200 on our page.

3. How to find GCD of 448, 187, 420, 200 on a calculator?

You can find the GCD of 448, 187, 420, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.