GCD of 642, 900, 448, 425 Calculator

Given Input numbers are 642, 900, 448, 425

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 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 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 642, 900, 448, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 900, 448, 425 is 1.

Therefore, GCD of numbers 642, 900, 448, 425 is 1

Given Input Data is 642, 900, 448, 425

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

Prime Factorization of 642 is 2 x 3 x 107

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

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

Prime Factorization of 425 is 5 x 5 x 17

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(642, 900) = 96300

GCD(642, 900) = ( 642 x 900 ) / 96300

GCD(642, 900) = 577800 / 96300

GCD(642, 900) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 448

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

LCM(6, 448) = 1344

GCD(6, 448) = ( 6 x 448 ) / 1344

GCD(6, 448) = 2688 / 1344

GCD(6, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

GCD of 642, 900, 448, 425 is 1

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1. What is the GCD of 642, 900, 448, 425?

GCD of 642, 900, 448, 425 is 1

2. Where do I get the detailed procedure to find GCD of 642, 900, 448, 425?

You can find a detailed procedure to find GCD of 642, 900, 448, 425 on our page.

3. How to find GCD of 642, 900, 448, 425 on a calculator?

You can find the GCD of 642, 900, 448, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.