GCD of 450, 910, 50, 847 Calculator

Given Input numbers are 450, 910, 50, 847

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 450, 910, 50, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 910, 50, 847 is 1.

Therefore, GCD of numbers 450, 910, 50, 847 is 1

Given Input Data is 450, 910, 50, 847

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 847 is 7 x 11 x 11

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(450, 910) = 40950

GCD(450, 910) = ( 450 x 910 ) / 40950

GCD(450, 910) = 409500 / 40950

GCD(450, 910) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 50

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

LCM(10, 50) = 50

GCD(10, 50) = ( 10 x 50 ) / 50

GCD(10, 50) = 500 / 50

GCD(10, 50) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 847

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

LCM(10, 847) = 8470

GCD(10, 847) = ( 10 x 847 ) / 8470

GCD(10, 847) = 8470 / 8470

GCD(10, 847) = 1

GCD of 450, 910, 50, 847 is 1

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1. What is the GCD of 450, 910, 50, 847?

GCD of 450, 910, 50, 847 is 1

2. Where do I get the detailed procedure to find GCD of 450, 910, 50, 847?

You can find a detailed procedure to find GCD of 450, 910, 50, 847 on our page.

3. How to find GCD of 450, 910, 50, 847 on a calculator?

You can find the GCD of 450, 910, 50, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.