GCD of 450, 825, 334, 196 Calculator

Given Input numbers are 450, 825, 334, 196

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 450, 825, 334, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 825, 334, 196 is 1.

Therefore, GCD of numbers 450, 825, 334, 196 is 1

Given Input Data is 450, 825, 334, 196

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 825 is 3 x 5 x 5 x 11

Prime Factorization of 334 is 2 x 167

Prime Factorization of 196 is 2 x 2 x 7 x 7

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, 825) = 4950

GCD(450, 825) = ( 450 x 825 ) / 4950

GCD(450, 825) = 371250 / 4950

GCD(450, 825) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 334

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

LCM(75, 334) = 25050

GCD(75, 334) = ( 75 x 334 ) / 25050

GCD(75, 334) = 25050 / 25050

GCD(75, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 450, 825, 334, 196 is 1

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1. What is the GCD of 450, 825, 334, 196?

GCD of 450, 825, 334, 196 is 1

2. Where do I get the detailed procedure to find GCD of 450, 825, 334, 196?

You can find a detailed procedure to find GCD of 450, 825, 334, 196 on our page.

3. How to find GCD of 450, 825, 334, 196 on a calculator?

You can find the GCD of 450, 825, 334, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.